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Finding the Fourth Proportional to 28,638, 42,957.81 and 7,861.50

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Solution

The fourth proportional to 28,638, 42,957.81 and 7,861.50 is: 11,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,638 : 42,957.81 = 7,861.50 : x
  2. Step 2: Convert to fraction form
    28,638/42,957.81 = 7,861.50/x
  3. Step 3: Cross multiply
    28,638x = 42,957.81 × 7,861.50
  4. Step 4: Simplify right side
    28,638x = 337,712,823.32
  5. Step 5: Solve for x
    x = 337,712,823.32/28,638
  6. Step 6: Final answer
    x = 11,792.47

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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.