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Finding the Fourth Proportional to 28,551.42, 42,827.13 and 9,831.92

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Solution

The fourth proportional to 28,551.42, 42,827.13 and 9,831.92 is: 14,747.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,551.42 : 42,827.13 = 9,831.92 : x
  2. Step 2: Convert to fraction form
    28,551.42/42,827.13 = 9,831.92/x
  3. Step 3: Cross multiply
    28,551.42x = 42,827.13 × 9,831.92
  4. Step 4: Simplify right side
    28,551.42x = 421,072,701.85
  5. Step 5: Solve for x
    x = 421,072,701.85/28,551.42
  6. Step 6: Final answer
    x = 14,747.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.