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Finding the Fourth Proportional to 10,424, 15,636.96 and 3,498.56

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Solution

The fourth proportional to 10,424, 15,636.96 and 3,498.56 is: 5,248.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,424 : 15,636.96 = 3,498.56 : x
  2. Step 2: Convert to fraction form
    10,424/15,636.96 = 3,498.56/x
  3. Step 3: Cross multiply
    10,424x = 15,636.96 × 3,498.56
  4. Step 4: Simplify right side
    10,424x = 54,706,842.78
  5. Step 5: Solve for x
    x = 54,706,842.78/10,424
  6. Step 6: Final answer
    x = 5,248.16

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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.