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Finding the Fourth Proportional to 19,937.44, 29,901.30 and 8,254

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Solution

The fourth proportional to 19,937.44, 29,901.30 and 8,254 is: 12,378.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937.44 : 29,901.30 = 8,254 : x
  2. Step 2: Convert to fraction form
    19,937.44/29,901.30 = 8,254/x
  3. Step 3: Cross multiply
    19,937.44x = 29,901.30 × 8,254
  4. Step 4: Simplify right side
    19,937.44x = 246,805,330.20
  5. Step 5: Solve for x
    x = 246,805,330.20/19,937.44
  6. Step 6: Final answer
    x = 12,378.99

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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.