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Finding the Fourth Proportional to 31,992.80, 47,950.80 and 16,402.40

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Solution

The fourth proportional to 31,992.80, 47,950.80 and 16,402.40 is: 24,583.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,992.80 : 47,950.80 = 16,402.40 : x
  2. Step 2: Convert to fraction form
    31,992.80/47,950.80 = 16,402.40/x
  3. Step 3: Cross multiply
    31,992.80x = 47,950.80 × 16,402.40
  4. Step 4: Simplify right side
    31,992.80x = 786,508,201.92
  5. Step 5: Solve for x
    x = 786,508,201.92/31,992.80
  6. Step 6: Final answer
    x = 24,583.91

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1.5x scale

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.