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Finding the Fourth Proportional to 2,257.61, 3,386.61 and 1,282.77

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Solution

The fourth proportional to 2,257.61, 3,386.61 and 1,282.77 is: 1,924.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.61 : 3,386.61 = 1,282.77 : x
  2. Step 2: Convert to fraction form
    2,257.61/3,386.61 = 1,282.77/x
  3. Step 3: Cross multiply
    2,257.61x = 3,386.61 × 1,282.77
  4. Step 4: Simplify right side
    2,257.61x = 4,344,241.71
  5. Step 5: Solve for x
    x = 4,344,241.71/2,257.61
  6. Step 6: Final answer
    x = 1,924.27

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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.