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Finding the Fourth Proportional to 1,972.48, 2,718.48 and 1,871.68

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Solution

The fourth proportional to 1,972.48, 2,718.48 and 1,871.68 is: 2,579.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.48 : 2,718.48 = 1,871.68 : x
  2. Step 2: Convert to fraction form
    1,972.48/2,718.48 = 1,871.68/x
  3. Step 3: Cross multiply
    1,972.48x = 2,718.48 × 1,871.68
  4. Step 4: Simplify right side
    1,972.48x = 5,088,124.65
  5. Step 5: Solve for x
    x = 5,088,124.65/1,972.48
  6. Step 6: Final answer
    x = 2,579.56

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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.