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Finding the Fourth Proportional to 20,442.78, 30,638.52 and 8,742.24

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Solution

The fourth proportional to 20,442.78, 30,638.52 and 8,742.24 is: 13,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,442.78 : 30,638.52 = 8,742.24 : x
  2. Step 2: Convert to fraction form
    20,442.78/30,638.52 = 8,742.24/x
  3. Step 3: Cross multiply
    20,442.78x = 30,638.52 × 8,742.24
  4. Step 4: Simplify right side
    20,442.78x = 267,849,295.08
  5. Step 5: Solve for x
    x = 267,849,295.08/20,442.78
  6. Step 6: Final answer
    x = 13,102.39

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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.