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Finding the Fourth Proportional to 4,874, 6,726.12 and 2,666

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Solution

The fourth proportional to 4,874, 6,726.12 and 2,666 is: 3,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,874 : 6,726.12 = 2,666 : x
  2. Step 2: Convert to fraction form
    4,874/6,726.12 = 2,666/x
  3. Step 3: Cross multiply
    4,874x = 6,726.12 × 2,666
  4. Step 4: Simplify right side
    4,874x = 17,931,835.92
  5. Step 5: Solve for x
    x = 17,931,835.92/4,874
  6. Step 6: Final answer
    x = 3,679.08

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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.