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Finding the Fourth Proportional to 2,165.60, 3,248.42 and 779.93

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Solution

The fourth proportional to 2,165.60, 3,248.42 and 779.93 is: 1,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.60 : 3,248.42 = 779.93 : x
  2. Step 2: Convert to fraction form
    2,165.60/3,248.42 = 779.93/x
  3. Step 3: Cross multiply
    2,165.60x = 3,248.42 × 779.93
  4. Step 4: Simplify right side
    2,165.60x = 2,533,540.21
  5. Step 5: Solve for x
    x = 2,533,540.21/2,165.60
  6. Step 6: Final answer
    x = 1,169.90

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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.