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Finding the Fourth Proportional to 8,465.65, 12,698.47 and 4,577.65

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Solution

The fourth proportional to 8,465.65, 12,698.47 and 4,577.65 is: 6,866.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.65 : 12,698.47 = 4,577.65 : x
  2. Step 2: Convert to fraction form
    8,465.65/12,698.47 = 4,577.65/x
  3. Step 3: Cross multiply
    8,465.65x = 12,698.47 × 4,577.65
  4. Step 4: Simplify right side
    8,465.65x = 58,129,125.17
  5. Step 5: Solve for x
    x = 58,129,125.17/8,465.65
  6. Step 6: Final answer
    x = 6,866.47

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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.