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Finding the Fourth Proportional to 2,188.80, 3,020.40 and 1,257.12

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Solution

The fourth proportional to 2,188.80, 3,020.40 and 1,257.12 is: 1,734.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.80 : 3,020.40 = 1,257.12 : x
  2. Step 2: Convert to fraction form
    2,188.80/3,020.40 = 1,257.12/x
  3. Step 3: Cross multiply
    2,188.80x = 3,020.40 × 1,257.12
  4. Step 4: Simplify right side
    2,188.80x = 3,797,005.25
  5. Step 5: Solve for x
    x = 3,797,005.25/2,188.80
  6. Step 6: Final answer
    x = 1,734.74

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