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Finding the Fourth Proportional to 31,832.95, 47,749.37 and 8,459.39

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Solution

The fourth proportional to 31,832.95, 47,749.37 and 8,459.39 is: 12,689.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.95 : 47,749.37 = 8,459.39 : x
  2. Step 2: Convert to fraction form
    31,832.95/47,749.37 = 8,459.39/x
  3. Step 3: Cross multiply
    31,832.95x = 47,749.37 × 8,459.39
  4. Step 4: Simplify right side
    31,832.95x = 403,930,283.19
  5. Step 5: Solve for x
    x = 403,930,283.19/31,832.95
  6. Step 6: Final answer
    x = 12,689.06

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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.