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Finding the Fourth Proportional to 12,530.20, 18,782.94 and 5,514

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Solution

The fourth proportional to 12,530.20, 18,782.94 and 5,514 is: 8,265.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.20 : 18,782.94 = 5,514 : x
  2. Step 2: Convert to fraction form
    12,530.20/18,782.94 = 5,514/x
  3. Step 3: Cross multiply
    12,530.20x = 18,782.94 × 5,514
  4. Step 4: Simplify right side
    12,530.20x = 103,569,131.16
  5. Step 5: Solve for x
    x = 103,569,131.16/12,530.20
  6. Step 6: Final answer
    x = 8,265.56

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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.