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Finding the Fourth Proportional to 8,686.14, 12,966.28 and 7,635.14

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Solution

The fourth proportional to 8,686.14, 12,966.28 and 7,635.14 is: 11,397.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.14 : 12,966.28 = 7,635.14 : x
  2. Step 2: Convert to fraction form
    8,686.14/12,966.28 = 7,635.14/x
  3. Step 3: Cross multiply
    8,686.14x = 12,966.28 × 7,635.14
  4. Step 4: Simplify right side
    8,686.14x = 98,999,363.08
  5. Step 5: Solve for x
    x = 98,999,363.08/8,686.14
  6. Step 6: Final answer
    x = 11,397.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.