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Finding the Fourth Proportional to 12,089.76, 16,691.62 and 9,857

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Solution

The fourth proportional to 12,089.76, 16,691.62 and 9,857 is: 13,608.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.76 : 16,691.62 = 9,857 : x
  2. Step 2: Convert to fraction form
    12,089.76/16,691.62 = 9,857/x
  3. Step 3: Cross multiply
    12,089.76x = 16,691.62 × 9,857
  4. Step 4: Simplify right side
    12,089.76x = 164,529,298.34
  5. Step 5: Solve for x
    x = 164,529,298.34/12,089.76
  6. Step 6: Final answer
    x = 13,608.98

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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.