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Finding the Fourth Proportional to 20,782.52, 31,174.04 and 6,931.52

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Solution

The fourth proportional to 20,782.52, 31,174.04 and 6,931.52 is: 10,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,782.52 : 31,174.04 = 6,931.52 : x
  2. Step 2: Convert to fraction form
    20,782.52/31,174.04 = 6,931.52/x
  3. Step 3: Cross multiply
    20,782.52x = 31,174.04 × 6,931.52
  4. Step 4: Simplify right side
    20,782.52x = 216,083,481.74
  5. Step 5: Solve for x
    x = 216,083,481.74/20,782.52
  6. Step 6: Final answer
    x = 10,397.37

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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.