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Finding the Fourth Proportional to 31,000.80, 42,777.84 and 18,423.84

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Solution

The fourth proportional to 31,000.80, 42,777.84 and 18,423.84 is: 25,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,000.80 : 42,777.84 = 18,423.84 : x
  2. Step 2: Convert to fraction form
    31,000.80/42,777.84 = 18,423.84/x
  3. Step 3: Cross multiply
    31,000.80x = 42,777.84 × 18,423.84
  4. Step 4: Simplify right side
    31,000.80x = 788,132,079.71
  5. Step 5: Solve for x
    x = 788,132,079.71/31,000.80
  6. Step 6: Final answer
    x = 25,422.96

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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.