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Finding the Fourth Proportional to 8,577.45, 12,866.18 and 7,684.65

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Solution

The fourth proportional to 8,577.45, 12,866.18 and 7,684.65 is: 11,526.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.45 : 12,866.18 = 7,684.65 : x
  2. Step 2: Convert to fraction form
    8,577.45/12,866.18 = 7,684.65/x
  3. Step 3: Cross multiply
    8,577.45x = 12,866.18 × 7,684.65
  4. Step 4: Simplify right side
    8,577.45x = 98,872,051.71
  5. Step 5: Solve for x
    x = 98,872,051.71/8,577.45
  6. Step 6: Final answer
    x = 11,526.98

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.