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Finding the Fourth Proportional to 2,148.02, 2,964.84 and 1,264.10

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Solution

The fourth proportional to 2,148.02, 2,964.84 and 1,264.10 is: 1,744.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,148.02 : 2,964.84 = 1,264.10 : x
  2. Step 2: Convert to fraction form
    2,148.02/2,964.84 = 1,264.10/x
  3. Step 3: Cross multiply
    2,148.02x = 2,964.84 × 1,264.10
  4. Step 4: Simplify right side
    2,148.02x = 3,747,854.24
  5. Step 5: Solve for x
    x = 3,747,854.24/2,148.02
  6. Step 6: Final answer
    x = 1,744.79

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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.