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Finding the Fourth Proportional to 12,248, 16,902.36 and 6,659.12

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Solution

The fourth proportional to 12,248, 16,902.36 and 6,659.12 is: 9,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,248 : 16,902.36 = 6,659.12 : x
  2. Step 2: Convert to fraction form
    12,248/16,902.36 = 6,659.12/x
  3. Step 3: Cross multiply
    12,248x = 16,902.36 × 6,659.12
  4. Step 4: Simplify right side
    12,248x = 112,554,843.52
  5. Step 5: Solve for x
    x = 112,554,843.52/12,248
  6. Step 6: Final answer
    x = 9,189.65

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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.