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Finding the Fourth Proportional to 2,148.68, 2,964.68 and 1,252.28

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Solution

The fourth proportional to 2,148.68, 2,964.68 and 1,252.28 is: 1,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.68 : 2,964.68 = 1,252.28 : x
  2. Step 2: Convert to fraction form
    2,148.68/2,964.68 = 1,252.28/x
  3. Step 3: Cross multiply
    2,148.68x = 2,964.68 × 1,252.28
  4. Step 4: Simplify right side
    2,148.68x = 3,712,609.47
  5. Step 5: Solve for x
    x = 3,712,609.47/2,148.68
  6. Step 6: Final answer
    x = 1,727.86

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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.