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Finding the Fourth Proportional to 2,124.78, 3,182.56 and 1,026.84

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Solution

The fourth proportional to 2,124.78, 3,182.56 and 1,026.84 is: 1,538.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,124.78 : 3,182.56 = 1,026.84 : x
  2. Step 2: Convert to fraction form
    2,124.78/3,182.56 = 1,026.84/x
  3. Step 3: Cross multiply
    2,124.78x = 3,182.56 × 1,026.84
  4. Step 4: Simplify right side
    2,124.78x = 3,267,989.28
  5. Step 5: Solve for x
    x = 3,267,989.28/2,124.78
  6. Step 6: Final answer
    x = 1,538.04

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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.