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Finding the Fourth Proportional to 20,413, 28,082.46 and 19,538.20

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Solution

The fourth proportional to 20,413, 28,082.46 and 19,538.20 is: 26,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,413 : 28,082.46 = 19,538.20 : x
  2. Step 2: Convert to fraction form
    20,413/28,082.46 = 19,538.20/x
  3. Step 3: Cross multiply
    20,413x = 28,082.46 × 19,538.20
  4. Step 4: Simplify right side
    20,413x = 548,680,719.97
  5. Step 5: Solve for x
    x = 548,680,719.97/20,413
  6. Step 6: Final answer
    x = 26,878.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.