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Finding the Fourth Proportional to 1,686.56, 2,328.10 and 1,449.56

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Solution

The fourth proportional to 1,686.56, 2,328.10 and 1,449.56 is: 2,000.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,686.56 : 2,328.10 = 1,449.56 : x
  2. Step 2: Convert to fraction form
    1,686.56/2,328.10 = 1,449.56/x
  3. Step 3: Cross multiply
    1,686.56x = 2,328.10 × 1,449.56
  4. Step 4: Simplify right side
    1,686.56x = 3,374,720.64
  5. Step 5: Solve for x
    x = 3,374,720.64/1,686.56
  6. Step 6: Final answer
    x = 2,000.95

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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.