Home / 31,988-47,962.16-12,267.68

Finding the Fourth Proportional to 31,988, 47,962.16 and 12,267.68

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Solution

The fourth proportional to 31,988, 47,962.16 and 12,267.68 is: 18,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,988 : 47,962.16 = 12,267.68 : x
  2. Step 2: Convert to fraction form
    31,988/47,962.16 = 12,267.68/x
  3. Step 3: Cross multiply
    31,988x = 47,962.16 × 12,267.68
  4. Step 4: Simplify right side
    31,988x = 588,384,430.99
  5. Step 5: Solve for x
    x = 588,384,430.99/31,988
  6. Step 6: Final answer
    x = 18,393.91

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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.