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Finding the Fourth Proportional to 1,687.88, 2,519.60 and 1,458.24

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Solution

The fourth proportional to 1,687.88, 2,519.60 and 1,458.24 is: 2,176.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.88 : 2,519.60 = 1,458.24 : x
  2. Step 2: Convert to fraction form
    1,687.88/2,519.60 = 1,458.24/x
  3. Step 3: Cross multiply
    1,687.88x = 2,519.60 × 1,458.24
  4. Step 4: Simplify right side
    1,687.88x = 3,674,181.50
  5. Step 5: Solve for x
    x = 3,674,181.50/1,687.88
  6. Step 6: Final answer
    x = 2,176.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.