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Finding the Fourth Proportional to 2,745.48, 4,117.98 and 771.14

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Solution

The fourth proportional to 2,745.48, 4,117.98 and 771.14 is: 1,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,745.48 : 4,117.98 = 771.14 : x
  2. Step 2: Convert to fraction form
    2,745.48/4,117.98 = 771.14/x
  3. Step 3: Cross multiply
    2,745.48x = 4,117.98 × 771.14
  4. Step 4: Simplify right side
    2,745.48x = 3,175,539.10
  5. Step 5: Solve for x
    x = 3,175,539.10/2,745.48
  6. Step 6: Final answer
    x = 1,156.64

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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.