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Finding the Fourth Proportional to 10,691.67, 14,752.76 and 9,831.45

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Solution

The fourth proportional to 10,691.67, 14,752.76 and 9,831.45 is: 13,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.67 : 14,752.76 = 9,831.45 : x
  2. Step 2: Convert to fraction form
    10,691.67/14,752.76 = 9,831.45/x
  3. Step 3: Cross multiply
    10,691.67x = 14,752.76 × 9,831.45
  4. Step 4: Simplify right side
    10,691.67x = 145,040,973.14
  5. Step 5: Solve for x
    x = 145,040,973.14/10,691.67
  6. Step 6: Final answer
    x = 13,565.79

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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.