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Finding the Fourth Proportional to 20,689.78, 31,034.40 and 7,542.40

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Solution

The fourth proportional to 20,689.78, 31,034.40 and 7,542.40 is: 11,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,689.78 : 31,034.40 = 7,542.40 : x
  2. Step 2: Convert to fraction form
    20,689.78/31,034.40 = 7,542.40/x
  3. Step 3: Cross multiply
    20,689.78x = 31,034.40 × 7,542.40
  4. Step 4: Simplify right side
    20,689.78x = 234,073,858.56
  5. Step 5: Solve for x
    x = 234,073,858.56/20,689.78
  6. Step 6: Final answer
    x = 11,313.50

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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.