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Finding the Fourth Proportional to 8,283.86, 12,425.79 and 7,776.98

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Solution

The fourth proportional to 8,283.86, 12,425.79 and 7,776.98 is: 11,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.86 : 12,425.79 = 7,776.98 : x
  2. Step 2: Convert to fraction form
    8,283.86/12,425.79 = 7,776.98/x
  3. Step 3: Cross multiply
    8,283.86x = 12,425.79 × 7,776.98
  4. Step 4: Simplify right side
    8,283.86x = 96,635,120.31
  5. Step 5: Solve for x
    x = 96,635,120.31/8,283.86
  6. Step 6: Final answer
    x = 11,665.47

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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.