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Finding the Fourth Proportional to 2,774.68, 4,165.68 and 2,545.45

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Solution

The fourth proportional to 2,774.68, 4,165.68 and 2,545.45 is: 3,821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.68 : 4,165.68 = 2,545.45 : x
  2. Step 2: Convert to fraction form
    2,774.68/4,165.68 = 2,545.45/x
  3. Step 3: Cross multiply
    2,774.68x = 4,165.68 × 2,545.45
  4. Step 4: Simplify right side
    2,774.68x = 10,603,530.16
  5. Step 5: Solve for x
    x = 10,603,530.16/2,774.68
  6. Step 6: Final answer
    x = 3,821.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.