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Finding the Fourth Proportional to 31,008.80, 42,790 and 18,431.20

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Solution

The fourth proportional to 31,008.80, 42,790 and 18,431.20 is: 25,433.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,008.80 : 42,790 = 18,431.20 : x
  2. Step 2: Convert to fraction form
    31,008.80/42,790 = 18,431.20/x
  3. Step 3: Cross multiply
    31,008.80x = 42,790 × 18,431.20
  4. Step 4: Simplify right side
    31,008.80x = 788,671,048
  5. Step 5: Solve for x
    x = 788,671,048/31,008.80
  6. Step 6: Final answer
    x = 25,433.78

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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.