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Finding the Fourth Proportional to 31,427.68, 47,134.88 and 9,235.02

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Solution

The fourth proportional to 31,427.68, 47,134.88 and 9,235.02 is: 13,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,427.68 : 47,134.88 = 9,235.02 : x
  2. Step 2: Convert to fraction form
    31,427.68/47,134.88 = 9,235.02/x
  3. Step 3: Cross multiply
    31,427.68x = 47,134.88 × 9,235.02
  4. Step 4: Simplify right side
    31,427.68x = 435,291,559.50
  5. Step 5: Solve for x
    x = 435,291,559.50/31,427.68
  6. Step 6: Final answer
    x = 13,850.58

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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.