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Finding the Fourth Proportional to 2,551.64, 3,805.55 and 2,507.90

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Solution

The fourth proportional to 2,551.64, 3,805.55 and 2,507.90 is: 3,740.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,551.64 : 3,805.55 = 2,507.90 : x
  2. Step 2: Convert to fraction form
    2,551.64/3,805.55 = 2,507.90/x
  3. Step 3: Cross multiply
    2,551.64x = 3,805.55 × 2,507.90
  4. Step 4: Simplify right side
    2,551.64x = 9,543,938.85
  5. Step 5: Solve for x
    x = 9,543,938.85/2,551.64
  6. Step 6: Final answer
    x = 3,740.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.