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Finding the Fourth Proportional to 12,385.85, 18,573.17 and 7,390.51

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Solution

The fourth proportional to 12,385.85, 18,573.17 and 7,390.51 is: 11,082.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385.85 : 18,573.17 = 7,390.51 : x
  2. Step 2: Convert to fraction form
    12,385.85/18,573.17 = 7,390.51/x
  3. Step 3: Cross multiply
    12,385.85x = 18,573.17 × 7,390.51
  4. Step 4: Simplify right side
    12,385.85x = 137,265,115.23
  5. Step 5: Solve for x
    x = 137,265,115.23/12,385.85
  6. Step 6: Final answer
    x = 11,082.42

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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.