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Finding the Fourth Proportional to 2,187.64, 3,281.34 and 544.15

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Solution

The fourth proportional to 2,187.64, 3,281.34 and 544.15 is: 816.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.64 : 3,281.34 = 544.15 : x
  2. Step 2: Convert to fraction form
    2,187.64/3,281.34 = 544.15/x
  3. Step 3: Cross multiply
    2,187.64x = 3,281.34 × 544.15
  4. Step 4: Simplify right side
    2,187.64x = 1,785,541.16
  5. Step 5: Solve for x
    x = 1,785,541.16/2,187.64
  6. Step 6: Final answer
    x = 816.20

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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.