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Finding the Fourth Proportional to 2,787, 4,180.56 and 1,554.24

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Solution

The fourth proportional to 2,787, 4,180.56 and 1,554.24 is: 2,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,787 : 4,180.56 = 1,554.24 : x
  2. Step 2: Convert to fraction form
    2,787/4,180.56 = 1,554.24/x
  3. Step 3: Cross multiply
    2,787x = 4,180.56 × 1,554.24
  4. Step 4: Simplify right side
    2,787x = 6,497,593.57
  5. Step 5: Solve for x
    x = 6,497,593.57/2,787
  6. Step 6: Final answer
    x = 2,331.39

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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.