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Finding the Fourth Proportional to 2,240.64, 3,092 and 1,308.96

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Solution

The fourth proportional to 2,240.64, 3,092 and 1,308.96 is: 1,806.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240.64 : 3,092 = 1,308.96 : x
  2. Step 2: Convert to fraction form
    2,240.64/3,092 = 1,308.96/x
  3. Step 3: Cross multiply
    2,240.64x = 3,092 × 1,308.96
  4. Step 4: Simplify right side
    2,240.64x = 4,047,304.32
  5. Step 5: Solve for x
    x = 4,047,304.32/2,240.64
  6. Step 6: Final answer
    x = 1,806.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.