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Finding the Fourth Proportional to 20,451, 30,497.50 and 20,264.16

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Solution

The fourth proportional to 20,451, 30,497.50 and 20,264.16 is: 30,218.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451 : 30,497.50 = 20,264.16 : x
  2. Step 2: Convert to fraction form
    20,451/30,497.50 = 20,264.16/x
  3. Step 3: Cross multiply
    20,451x = 30,497.50 × 20,264.16
  4. Step 4: Simplify right side
    20,451x = 618,006,219.60
  5. Step 5: Solve for x
    x = 618,006,219.60/20,451
  6. Step 6: Final answer
    x = 30,218.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.