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Finding the Fourth Proportional to 4,271.76, 5,891.78 and 2,947.68

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Solution

The fourth proportional to 4,271.76, 5,891.78 and 2,947.68 is: 4,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.76 : 5,891.78 = 2,947.68 : x
  2. Step 2: Convert to fraction form
    4,271.76/5,891.78 = 2,947.68/x
  3. Step 3: Cross multiply
    4,271.76x = 5,891.78 × 2,947.68
  4. Step 4: Simplify right side
    4,271.76x = 17,367,082.07
  5. Step 5: Solve for x
    x = 17,367,082.07/4,271.76
  6. Step 6: Final answer
    x = 4,065.56

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1.5x scale

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.