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Finding the Fourth Proportional to 2,257.83, 3,384.42 and 1,281.87

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Solution

The fourth proportional to 2,257.83, 3,384.42 and 1,281.87 is: 1,921.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.83 : 3,384.42 = 1,281.87 : x
  2. Step 2: Convert to fraction form
    2,257.83/3,384.42 = 1,281.87/x
  3. Step 3: Cross multiply
    2,257.83x = 3,384.42 × 1,281.87
  4. Step 4: Simplify right side
    2,257.83x = 4,338,386.47
  5. Step 5: Solve for x
    x = 4,338,386.47/2,257.83
  6. Step 6: Final answer
    x = 1,921.48

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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.