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Finding the Fourth Proportional to 28,658.87, 42,985.74 and 9,938.49

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Solution

The fourth proportional to 28,658.87, 42,985.74 and 9,938.49 is: 14,906.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,658.87 : 42,985.74 = 9,938.49 : x
  2. Step 2: Convert to fraction form
    28,658.87/42,985.74 = 9,938.49/x
  3. Step 3: Cross multiply
    28,658.87x = 42,985.74 × 9,938.49
  4. Step 4: Simplify right side
    28,658.87x = 427,213,347.13
  5. Step 5: Solve for x
    x = 427,213,347.13/28,658.87
  6. Step 6: Final answer
    x = 14,906.85

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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.