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Finding the Fourth Proportional to 10,427.68, 15,643.88 and 3,502

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Solution

The fourth proportional to 10,427.68, 15,643.88 and 3,502 is: 5,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427.68 : 15,643.88 = 3,502 : x
  2. Step 2: Convert to fraction form
    10,427.68/15,643.88 = 3,502/x
  3. Step 3: Cross multiply
    10,427.68x = 15,643.88 × 3,502
  4. Step 4: Simplify right side
    10,427.68x = 54,784,867.76
  5. Step 5: Solve for x
    x = 54,784,867.76/10,427.68
  6. Step 6: Final answer
    x = 5,253.79

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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.