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Finding the Fourth Proportional to 10,403, 15,604.50 and 4,165.82

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Solution

The fourth proportional to 10,403, 15,604.50 and 4,165.82 is: 6,248.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,403 : 15,604.50 = 4,165.82 : x
  2. Step 2: Convert to fraction form
    10,403/15,604.50 = 4,165.82/x
  3. Step 3: Cross multiply
    10,403x = 15,604.50 × 4,165.82
  4. Step 4: Simplify right side
    10,403x = 65,005,538.19
  5. Step 5: Solve for x
    x = 65,005,538.19/10,403
  6. Step 6: Final answer
    x = 6,248.73

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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.