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Finding the Fourth Proportional to 20,129.84, 30,190.98 and 9,034.46

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Solution

The fourth proportional to 20,129.84, 30,190.98 and 9,034.46 is: 13,549.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.84 : 30,190.98 = 9,034.46 : x
  2. Step 2: Convert to fraction form
    20,129.84/30,190.98 = 9,034.46/x
  3. Step 3: Cross multiply
    20,129.84x = 30,190.98 × 9,034.46
  4. Step 4: Simplify right side
    20,129.84x = 272,759,201.17
  5. Step 5: Solve for x
    x = 272,759,201.17/20,129.84
  6. Step 6: Final answer
    x = 13,549.99

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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.