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Finding the Fourth Proportional to 2,167.53, 3,256.64 and 1,387.87

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Solution

The fourth proportional to 2,167.53, 3,256.64 and 1,387.87 is: 2,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.53 : 3,256.64 = 1,387.87 : x
  2. Step 2: Convert to fraction form
    2,167.53/3,256.64 = 1,387.87/x
  3. Step 3: Cross multiply
    2,167.53x = 3,256.64 × 1,387.87
  4. Step 4: Simplify right side
    2,167.53x = 4,519,783.08
  5. Step 5: Solve for x
    x = 4,519,783.08/2,167.53
  6. Step 6: Final answer
    x = 2,085.23

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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.