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Finding the Fourth Proportional to 34,384, 47,449.92 and 19,480

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Solution

The fourth proportional to 34,384, 47,449.92 and 19,480 is: 26,882.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,384 : 47,449.92 = 19,480 : x
  2. Step 2: Convert to fraction form
    34,384/47,449.92 = 19,480/x
  3. Step 3: Cross multiply
    34,384x = 47,449.92 × 19,480
  4. Step 4: Simplify right side
    34,384x = 924,324,441.60
  5. Step 5: Solve for x
    x = 924,324,441.60/34,384
  6. Step 6: Final answer
    x = 26,882.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.