Home / 31,744-47,618.20-13,276

Finding the Fourth Proportional to 31,744, 47,618.20 and 13,276

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Solution

The fourth proportional to 31,744, 47,618.20 and 13,276 is: 19,914.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744 : 47,618.20 = 13,276 : x
  2. Step 2: Convert to fraction form
    31,744/47,618.20 = 13,276/x
  3. Step 3: Cross multiply
    31,744x = 47,618.20 × 13,276
  4. Step 4: Simplify right side
    31,744x = 632,179,223.20
  5. Step 5: Solve for x
    x = 632,179,223.20/31,744
  6. Step 6: Final answer
    x = 19,914.92

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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.