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Finding the Fourth Proportional to 10,737.66, 14,831.78 and 8,250.38

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Solution

The fourth proportional to 10,737.66, 14,831.78 and 8,250.38 is: 11,396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.66 : 14,831.78 = 8,250.38 : x
  2. Step 2: Convert to fraction form
    10,737.66/14,831.78 = 8,250.38/x
  3. Step 3: Cross multiply
    10,737.66x = 14,831.78 × 8,250.38
  4. Step 4: Simplify right side
    10,737.66x = 122,367,821.08
  5. Step 5: Solve for x
    x = 122,367,821.08/10,737.66
  6. Step 6: Final answer
    x = 11,396.13

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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.