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Finding the Fourth Proportional to 20,730.48, 31,102.56 and 8,256.48

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Solution

The fourth proportional to 20,730.48, 31,102.56 and 8,256.48 is: 12,387.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,730.48 : 31,102.56 = 8,256.48 : x
  2. Step 2: Convert to fraction form
    20,730.48/31,102.56 = 8,256.48/x
  3. Step 3: Cross multiply
    20,730.48x = 31,102.56 × 8,256.48
  4. Step 4: Simplify right side
    20,730.48x = 256,797,664.59
  5. Step 5: Solve for x
    x = 256,797,664.59/20,730.48
  6. Step 6: Final answer
    x = 12,387.44

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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.