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Finding the Fourth Proportional to 15,805.82, 23,691.70 and 8,402.82

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Solution

The fourth proportional to 15,805.82, 23,691.70 and 8,402.82 is: 12,595.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.82 : 23,691.70 = 8,402.82 : x
  2. Step 2: Convert to fraction form
    15,805.82/23,691.70 = 8,402.82/x
  3. Step 3: Cross multiply
    15,805.82x = 23,691.70 × 8,402.82
  4. Step 4: Simplify right side
    15,805.82x = 199,077,090.59
  5. Step 5: Solve for x
    x = 199,077,090.59/15,805.82
  6. Step 6: Final answer
    x = 12,595.18

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1.5x scale

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.