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Finding the Fourth Proportional to 10,231, 15,349.20 and 3,305.68

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Solution

The fourth proportional to 10,231, 15,349.20 and 3,305.68 is: 4,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231 : 15,349.20 = 3,305.68 : x
  2. Step 2: Convert to fraction form
    10,231/15,349.20 = 3,305.68/x
  3. Step 3: Cross multiply
    10,231x = 15,349.20 × 3,305.68
  4. Step 4: Simplify right side
    10,231x = 50,739,543.46
  5. Step 5: Solve for x
    x = 50,739,543.46/10,231
  6. Step 6: Final answer
    x = 4,959.39

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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.