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Finding the Fourth Proportional to 1,764.85, 2,647.71 and 1,245.87

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Solution

The fourth proportional to 1,764.85, 2,647.71 and 1,245.87 is: 1,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.85 : 2,647.71 = 1,245.87 : x
  2. Step 2: Convert to fraction form
    1,764.85/2,647.71 = 1,245.87/x
  3. Step 3: Cross multiply
    1,764.85x = 2,647.71 × 1,245.87
  4. Step 4: Simplify right side
    1,764.85x = 3,298,686.10
  5. Step 5: Solve for x
    x = 3,298,686.10/1,764.85
  6. Step 6: Final answer
    x = 1,869.11

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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.