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Finding the Fourth Proportional to 1,856.50, 2,562.13 and 1,028.66

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Solution

The fourth proportional to 1,856.50, 2,562.13 and 1,028.66 is: 1,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.50 : 2,562.13 = 1,028.66 : x
  2. Step 2: Convert to fraction form
    1,856.50/2,562.13 = 1,028.66/x
  3. Step 3: Cross multiply
    1,856.50x = 2,562.13 × 1,028.66
  4. Step 4: Simplify right side
    1,856.50x = 2,635,560.65
  5. Step 5: Solve for x
    x = 2,635,560.65/1,856.50
  6. Step 6: Final answer
    x = 1,419.64

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Why These Related Problems?

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