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Finding the Fourth Proportional to 18,298.50, 25,251.93 and 9,915

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Solution

The fourth proportional to 18,298.50, 25,251.93 and 9,915 is: 13,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,298.50 : 25,251.93 = 9,915 : x
  2. Step 2: Convert to fraction form
    18,298.50/25,251.93 = 9,915/x
  3. Step 3: Cross multiply
    18,298.50x = 25,251.93 × 9,915
  4. Step 4: Simplify right side
    18,298.50x = 250,372,885.95
  5. Step 5: Solve for x
    x = 250,372,885.95/18,298.50
  6. Step 6: Final answer
    x = 13,682.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.