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Finding the Fourth Proportional to 2,761.82, 4,143.35 and 913.13

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Solution

The fourth proportional to 2,761.82, 4,143.35 and 913.13 is: 1,369.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.82 : 4,143.35 = 913.13 : x
  2. Step 2: Convert to fraction form
    2,761.82/4,143.35 = 913.13/x
  3. Step 3: Cross multiply
    2,761.82x = 4,143.35 × 913.13
  4. Step 4: Simplify right side
    2,761.82x = 3,783,391.90
  5. Step 5: Solve for x
    x = 3,783,391.90/2,761.82
  6. Step 6: Final answer
    x = 1,369.89

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1.5x scale

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.