Home / 31,050-42,849-16,902

Finding the Fourth Proportional to 31,050, 42,849 and 16,902

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Solution

The fourth proportional to 31,050, 42,849 and 16,902 is: 23,324.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,050 : 42,849 = 16,902 : x
  2. Step 2: Convert to fraction form
    31,050/42,849 = 16,902/x
  3. Step 3: Cross multiply
    31,050x = 42,849 × 16,902
  4. Step 4: Simplify right side
    31,050x = 724,233,798
  5. Step 5: Solve for x
    x = 724,233,798/31,050
  6. Step 6: Final answer
    x = 23,324.76

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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.