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Finding the Fourth Proportional to 2,148.03, 2,964.84 and 1,264.12

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Solution

The fourth proportional to 2,148.03, 2,964.84 and 1,264.12 is: 1,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.03 : 2,964.84 = 1,264.12 : x
  2. Step 2: Convert to fraction form
    2,148.03/2,964.84 = 1,264.12/x
  3. Step 3: Cross multiply
    2,148.03x = 2,964.84 × 1,264.12
  4. Step 4: Simplify right side
    2,148.03x = 3,747,913.54
  5. Step 5: Solve for x
    x = 3,747,913.54/2,148.03
  6. Step 6: Final answer
    x = 1,744.81

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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.