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Finding the Fourth Proportional to 20,347.76, 30,513 and 9,251.12

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Solution

The fourth proportional to 20,347.76, 30,513 and 9,251.12 is: 13,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,347.76 : 30,513 = 9,251.12 : x
  2. Step 2: Convert to fraction form
    20,347.76/30,513 = 9,251.12/x
  3. Step 3: Cross multiply
    20,347.76x = 30,513 × 9,251.12
  4. Step 4: Simplify right side
    20,347.76x = 282,279,424.56
  5. Step 5: Solve for x
    x = 282,279,424.56/20,347.76
  6. Step 6: Final answer
    x = 13,872.75

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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.