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Finding the Fourth Proportional to 9,124.78, 13,688.34 and 3,280

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Solution

The fourth proportional to 9,124.78, 13,688.34 and 3,280 is: 4,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.78 : 13,688.34 = 3,280 : x
  2. Step 2: Convert to fraction form
    9,124.78/13,688.34 = 3,280/x
  3. Step 3: Cross multiply
    9,124.78x = 13,688.34 × 3,280
  4. Step 4: Simplify right side
    9,124.78x = 44,897,755.20
  5. Step 5: Solve for x
    x = 44,897,755.20/9,124.78
  6. Step 6: Final answer
    x = 4,920.42

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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.