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Finding the Fourth Proportional to 2,643.71, 3,648.31 and 1,448.70

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Solution

The fourth proportional to 2,643.71, 3,648.31 and 1,448.70 is: 1,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,643.71 : 3,648.31 = 1,448.70 : x
  2. Step 2: Convert to fraction form
    2,643.71/3,648.31 = 1,448.70/x
  3. Step 3: Cross multiply
    2,643.71x = 3,648.31 × 1,448.70
  4. Step 4: Simplify right side
    2,643.71x = 5,285,306.70
  5. Step 5: Solve for x
    x = 5,285,306.70/2,643.71
  6. Step 6: Final answer
    x = 1,999.20

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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.