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Finding the Fourth Proportional to 11,147.60, 16,697.10 and 9,689.60

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Solution

The fourth proportional to 11,147.60, 16,697.10 and 9,689.60 is: 14,513.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,147.60 : 16,697.10 = 9,689.60 : x
  2. Step 2: Convert to fraction form
    11,147.60/16,697.10 = 9,689.60/x
  3. Step 3: Cross multiply
    11,147.60x = 16,697.10 × 9,689.60
  4. Step 4: Simplify right side
    11,147.60x = 161,788,220.16
  5. Step 5: Solve for x
    x = 161,788,220.16/11,147.60
  6. Step 6: Final answer
    x = 14,513.28

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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.