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Finding the Fourth Proportional to 20,762.25, 31,143.38 and 6,911.25

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Solution

The fourth proportional to 20,762.25, 31,143.38 and 6,911.25 is: 10,366.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,762.25 : 31,143.38 = 6,911.25 : x
  2. Step 2: Convert to fraction form
    20,762.25/31,143.38 = 6,911.25/x
  3. Step 3: Cross multiply
    20,762.25x = 31,143.38 × 6,911.25
  4. Step 4: Simplify right side
    20,762.25x = 215,239,650.47
  5. Step 5: Solve for x
    x = 215,239,650.47/20,762.25
  6. Step 6: Final answer
    x = 10,366.88

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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.