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Finding the Fourth Proportional to 20,602.25, 30,882.53 and 8,117.42

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Solution

The fourth proportional to 20,602.25, 30,882.53 and 8,117.42 is: 12,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,602.25 : 30,882.53 = 8,117.42 : x
  2. Step 2: Convert to fraction form
    20,602.25/30,882.53 = 8,117.42/x
  3. Step 3: Cross multiply
    20,602.25x = 30,882.53 × 8,117.42
  4. Step 4: Simplify right side
    20,602.25x = 250,686,271.67
  5. Step 5: Solve for x
    x = 250,686,271.67/20,602.25
  6. Step 6: Final answer
    x = 12,167.91

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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.