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Finding the Fourth Proportional to 2,776.75, 4,165.13 and 1,045.38

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Solution

The fourth proportional to 2,776.75, 4,165.13 and 1,045.38 is: 1,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,776.75 : 4,165.13 = 1,045.38 : x
  2. Step 2: Convert to fraction form
    2,776.75/4,165.13 = 1,045.38/x
  3. Step 3: Cross multiply
    2,776.75x = 4,165.13 × 1,045.38
  4. Step 4: Simplify right side
    2,776.75x = 4,354,143.60
  5. Step 5: Solve for x
    x = 4,354,143.60/2,776.75
  6. Step 6: Final answer
    x = 1,568.07

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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.