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Finding the Fourth Proportional to 28,522.85, 42,787.13 and 9,800.42

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Solution

The fourth proportional to 28,522.85, 42,787.13 and 9,800.42 is: 14,701.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,522.85 : 42,787.13 = 9,800.42 : x
  2. Step 2: Convert to fraction form
    28,522.85/42,787.13 = 9,800.42/x
  3. Step 3: Cross multiply
    28,522.85x = 42,787.13 × 9,800.42
  4. Step 4: Simplify right side
    28,522.85x = 419,331,581.66
  5. Step 5: Solve for x
    x = 419,331,581.66/28,522.85
  6. Step 6: Final answer
    x = 14,701.60

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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.