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Finding the Fourth Proportional to 15,102, 20,840.76 and 8,478

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Solution

The fourth proportional to 15,102, 20,840.76 and 8,478 is: 11,699.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,102 : 20,840.76 = 8,478 : x
  2. Step 2: Convert to fraction form
    15,102/20,840.76 = 8,478/x
  3. Step 3: Cross multiply
    15,102x = 20,840.76 × 8,478
  4. Step 4: Simplify right side
    15,102x = 176,687,963.28
  5. Step 5: Solve for x
    x = 176,687,963.28/15,102
  6. Step 6: Final answer
    x = 11,699.64

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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.