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Finding the Fourth Proportional to 15,071, 20,798.02 and 8,447

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Solution

The fourth proportional to 15,071, 20,798.02 and 8,447 is: 11,656.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,071 : 20,798.02 = 8,447 : x
  2. Step 2: Convert to fraction form
    15,071/20,798.02 = 8,447/x
  3. Step 3: Cross multiply
    15,071x = 20,798.02 × 8,447
  4. Step 4: Simplify right side
    15,071x = 175,680,874.94
  5. Step 5: Solve for x
    x = 175,680,874.94/15,071
  6. Step 6: Final answer
    x = 11,656.88

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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.