Home / 31,372.64-47,046.40-13,830

Finding the Fourth Proportional to 31,372.64, 47,046.40 and 13,830

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Solution

The fourth proportional to 31,372.64, 47,046.40 and 13,830 is: 20,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,372.64 : 47,046.40 = 13,830 : x
  2. Step 2: Convert to fraction form
    31,372.64/47,046.40 = 13,830/x
  3. Step 3: Cross multiply
    31,372.64x = 47,046.40 × 13,830
  4. Step 4: Simplify right side
    31,372.64x = 650,651,712
  5. Step 5: Solve for x
    x = 650,651,712/31,372.64
  6. Step 6: Final answer
    x = 20,739.46

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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.