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Finding the Fourth Proportional to 2,448.59, 3,672.88 and 1,275.71

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Solution

The fourth proportional to 2,448.59, 3,672.88 and 1,275.71 is: 1,913.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,448.59 : 3,672.88 = 1,275.71 : x
  2. Step 2: Convert to fraction form
    2,448.59/3,672.88 = 1,275.71/x
  3. Step 3: Cross multiply
    2,448.59x = 3,672.88 × 1,275.71
  4. Step 4: Simplify right side
    2,448.59x = 4,685,508.19
  5. Step 5: Solve for x
    x = 4,685,508.19/2,448.59
  6. Step 6: Final answer
    x = 1,913.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.