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Finding the Fourth Proportional to 1,624.72, 2,243.16 and 1,449.76

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Solution

The fourth proportional to 1,624.72, 2,243.16 and 1,449.76 is: 2,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.72 : 2,243.16 = 1,449.76 : x
  2. Step 2: Convert to fraction form
    1,624.72/2,243.16 = 1,449.76/x
  3. Step 3: Cross multiply
    1,624.72x = 2,243.16 × 1,449.76
  4. Step 4: Simplify right side
    1,624.72x = 3,252,043.64
  5. Step 5: Solve for x
    x = 3,252,043.64/1,624.72
  6. Step 6: Final answer
    x = 2,001.60

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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.