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Finding the Fourth Proportional to 2,167.60, 3,252 and 869.08

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Solution

The fourth proportional to 2,167.60, 3,252 and 869.08 is: 1,303.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,167.60 : 3,252 = 869.08 : x
  2. Step 2: Convert to fraction form
    2,167.60/3,252 = 869.08/x
  3. Step 3: Cross multiply
    2,167.60x = 3,252 × 869.08
  4. Step 4: Simplify right side
    2,167.60x = 2,826,248.16
  5. Step 5: Solve for x
    x = 2,826,248.16/2,167.60
  6. Step 6: Final answer
    x = 1,303.86

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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.