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Finding the Fourth Proportional to 10,423.68, 15,637.86 and 3,498

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Solution

The fourth proportional to 10,423.68, 15,637.86 and 3,498 is: 5,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.68 : 15,637.86 = 3,498 : x
  2. Step 2: Convert to fraction form
    10,423.68/15,637.86 = 3,498/x
  3. Step 3: Cross multiply
    10,423.68x = 15,637.86 × 3,498
  4. Step 4: Simplify right side
    10,423.68x = 54,701,234.28
  5. Step 5: Solve for x
    x = 54,701,234.28/10,423.68
  6. Step 6: Final answer
    x = 5,247.79

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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.