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Finding the Fourth Proportional to 15,881, 23,814.68 and 6,514.52

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Solution

The fourth proportional to 15,881, 23,814.68 and 6,514.52 is: 9,768.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,881 : 23,814.68 = 6,514.52 : x
  2. Step 2: Convert to fraction form
    15,881/23,814.68 = 6,514.52/x
  3. Step 3: Cross multiply
    15,881x = 23,814.68 × 6,514.52
  4. Step 4: Simplify right side
    15,881x = 155,141,209.15
  5. Step 5: Solve for x
    x = 155,141,209.15/15,881
  6. Step 6: Final answer
    x = 9,768.98

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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.