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Finding the Fourth Proportional to 5,605.60, 8,395.66 and 2,686

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Solution

The fourth proportional to 5,605.60, 8,395.66 and 2,686 is: 4,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.60 : 8,395.66 = 2,686 : x
  2. Step 2: Convert to fraction form
    5,605.60/8,395.66 = 2,686/x
  3. Step 3: Cross multiply
    5,605.60x = 8,395.66 × 2,686
  4. Step 4: Simplify right side
    5,605.60x = 22,550,742.76
  5. Step 5: Solve for x
    x = 22,550,742.76/5,605.60
  6. Step 6: Final answer
    x = 4,022.90

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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.