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Finding the Fourth Proportional to 10,435.68, 15,655.68 and 3,510

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Solution

The fourth proportional to 10,435.68, 15,655.68 and 3,510 is: 5,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.68 : 15,655.68 = 3,510 : x
  2. Step 2: Convert to fraction form
    10,435.68/15,655.68 = 3,510/x
  3. Step 3: Cross multiply
    10,435.68x = 15,655.68 × 3,510
  4. Step 4: Simplify right side
    10,435.68x = 54,951,436.80
  5. Step 5: Solve for x
    x = 54,951,436.80/10,435.68
  6. Step 6: Final answer
    x = 5,265.73

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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.