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Finding the Fourth Proportional to 2,655.52, 3,980.28 and 1,354.24

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Solution

The fourth proportional to 2,655.52, 3,980.28 and 1,354.24 is: 2,029.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.52 : 3,980.28 = 1,354.24 : x
  2. Step 2: Convert to fraction form
    2,655.52/3,980.28 = 1,354.24/x
  3. Step 3: Cross multiply
    2,655.52x = 3,980.28 × 1,354.24
  4. Step 4: Simplify right side
    2,655.52x = 5,390,254.39
  5. Step 5: Solve for x
    x = 5,390,254.39/2,655.52
  6. Step 6: Final answer
    x = 2,029.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.