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Finding the Fourth Proportional to 31,080, 42,906.65 and 24,259.40

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Solution

The fourth proportional to 31,080, 42,906.65 and 24,259.40 is: 33,490.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,080 : 42,906.65 = 24,259.40 : x
  2. Step 2: Convert to fraction form
    31,080/42,906.65 = 24,259.40/x
  3. Step 3: Cross multiply
    31,080x = 42,906.65 × 24,259.40
  4. Step 4: Simplify right side
    31,080x = 1,040,889,585.01
  5. Step 5: Solve for x
    x = 1,040,889,585.01/31,080
  6. Step 6: Final answer
    x = 33,490.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.