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Finding the Fourth Proportional to 2,252.76, 3,376.90 and 1,567.32

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Solution

The fourth proportional to 2,252.76, 3,376.90 and 1,567.32 is: 2,349.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.76 : 3,376.90 = 1,567.32 : x
  2. Step 2: Convert to fraction form
    2,252.76/3,376.90 = 1,567.32/x
  3. Step 3: Cross multiply
    2,252.76x = 3,376.90 × 1,567.32
  4. Step 4: Simplify right side
    2,252.76x = 5,292,682.91
  5. Step 5: Solve for x
    x = 5,292,682.91/2,252.76
  6. Step 6: Final answer
    x = 2,349.42

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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.