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Finding the Fourth Proportional to 2,167.90, 3,252.26 and 869.47

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Solution

The fourth proportional to 2,167.90, 3,252.26 and 869.47 is: 1,304.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.90 : 3,252.26 = 869.47 : x
  2. Step 2: Convert to fraction form
    2,167.90/3,252.26 = 869.47/x
  3. Step 3: Cross multiply
    2,167.90x = 3,252.26 × 869.47
  4. Step 4: Simplify right side
    2,167.90x = 2,827,730.02
  5. Step 5: Solve for x
    x = 2,827,730.02/2,167.90
  6. Step 6: Final answer
    x = 1,304.37

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1.5x scale

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.