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Finding the Fourth Proportional to 22,915, 34,372.50 and 6,499

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Solution

The fourth proportional to 22,915, 34,372.50 and 6,499 is: 9,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915 : 34,372.50 = 6,499 : x
  2. Step 2: Convert to fraction form
    22,915/34,372.50 = 6,499/x
  3. Step 3: Cross multiply
    22,915x = 34,372.50 × 6,499
  4. Step 4: Simplify right side
    22,915x = 223,386,877.50
  5. Step 5: Solve for x
    x = 223,386,877.50/22,915
  6. Step 6: Final answer
    x = 9,748.50

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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.