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Finding the Fourth Proportional to 12,143.76, 18,207 and 9,806.64

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Solution

The fourth proportional to 12,143.76, 18,207 and 9,806.64 is: 14,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,143.76 : 18,207 = 9,806.64 : x
  2. Step 2: Convert to fraction form
    12,143.76/18,207 = 9,806.64/x
  3. Step 3: Cross multiply
    12,143.76x = 18,207 × 9,806.64
  4. Step 4: Simplify right side
    12,143.76x = 178,549,494.48
  5. Step 5: Solve for x
    x = 178,549,494.48/12,143.76
  6. Step 6: Final answer
    x = 14,702.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.