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Finding the Fourth Proportional to 11,411.61, 15,768.14 and 8,781.74

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Solution

The fourth proportional to 11,411.61, 15,768.14 and 8,781.74 is: 12,134.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.61 : 15,768.14 = 8,781.74 : x
  2. Step 2: Convert to fraction form
    11,411.61/15,768.14 = 8,781.74/x
  3. Step 3: Cross multiply
    11,411.61x = 15,768.14 × 8,781.74
  4. Step 4: Simplify right side
    11,411.61x = 138,471,694.79
  5. Step 5: Solve for x
    x = 138,471,694.79/11,411.61
  6. Step 6: Final answer
    x = 12,134.28

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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.