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Finding the Fourth Proportional to 2,566.57, 3,541.87 and 1,387.64

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Solution

The fourth proportional to 2,566.57, 3,541.87 and 1,387.64 is: 1,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,566.57 : 3,541.87 = 1,387.64 : x
  2. Step 2: Convert to fraction form
    2,566.57/3,541.87 = 1,387.64/x
  3. Step 3: Cross multiply
    2,566.57x = 3,541.87 × 1,387.64
  4. Step 4: Simplify right side
    2,566.57x = 4,914,840.49
  5. Step 5: Solve for x
    x = 4,914,840.49/2,566.57
  6. Step 6: Final answer
    x = 1,914.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.