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Finding the Fourth Proportional to 15,422.44, 21,283.12 and 8,349

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Solution

The fourth proportional to 15,422.44, 21,283.12 and 8,349 is: 11,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,422.44 : 21,283.12 = 8,349 : x
  2. Step 2: Convert to fraction form
    15,422.44/21,283.12 = 8,349/x
  3. Step 3: Cross multiply
    15,422.44x = 21,283.12 × 8,349
  4. Step 4: Simplify right side
    15,422.44x = 177,692,768.88
  5. Step 5: Solve for x
    x = 177,692,768.88/15,422.44
  6. Step 6: Final answer
    x = 11,521.70

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1.5x scale

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.