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Finding the Fourth Proportional to 31,129.60, 42,959.42 and 16,982.40

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Solution

The fourth proportional to 31,129.60, 42,959.42 and 16,982.40 is: 23,436.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,129.60 : 42,959.42 = 16,982.40 : x
  2. Step 2: Convert to fraction form
    31,129.60/42,959.42 = 16,982.40/x
  3. Step 3: Cross multiply
    31,129.60x = 42,959.42 × 16,982.40
  4. Step 4: Simplify right side
    31,129.60x = 729,554,054.21
  5. Step 5: Solve for x
    x = 729,554,054.21/31,129.60
  6. Step 6: Final answer
    x = 23,436.02

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1.5x scale

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.