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Finding the Fourth Proportional to 8,657.84, 11,944.68 and 7,092.56

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Solution

The fourth proportional to 8,657.84, 11,944.68 and 7,092.56 is: 9,785.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.84 : 11,944.68 = 7,092.56 : x
  2. Step 2: Convert to fraction form
    8,657.84/11,944.68 = 7,092.56/x
  3. Step 3: Cross multiply
    8,657.84x = 11,944.68 × 7,092.56
  4. Step 4: Simplify right side
    8,657.84x = 84,718,359.58
  5. Step 5: Solve for x
    x = 84,718,359.58/8,657.84
  6. Step 6: Final answer
    x = 9,785.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.