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Finding the Fourth Proportional to 25,930, 38,900.76 and 9,514

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Solution

The fourth proportional to 25,930, 38,900.76 and 9,514 is: 14,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,930 : 38,900.76 = 9,514 : x
  2. Step 2: Convert to fraction form
    25,930/38,900.76 = 9,514/x
  3. Step 3: Cross multiply
    25,930x = 38,900.76 × 9,514
  4. Step 4: Simplify right side
    25,930x = 370,101,830.64
  5. Step 5: Solve for x
    x = 370,101,830.64/25,930
  6. Step 6: Final answer
    x = 14,273.11

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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.