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Finding the Fourth Proportional to 5,661.60, 8,486.10 and 2,661.12

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Solution

The fourth proportional to 5,661.60, 8,486.10 and 2,661.12 is: 3,988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.60 : 8,486.10 = 2,661.12 : x
  2. Step 2: Convert to fraction form
    5,661.60/8,486.10 = 2,661.12/x
  3. Step 3: Cross multiply
    5,661.60x = 8,486.10 × 2,661.12
  4. Step 4: Simplify right side
    5,661.60x = 22,582,530.43
  5. Step 5: Solve for x
    x = 22,582,530.43/5,661.60
  6. Step 6: Final answer
    x = 3,988.72

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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.