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Finding the Fourth Proportional to 2,818.67, 3,891.24 and 1,756.76

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Solution

The fourth proportional to 2,818.67, 3,891.24 and 1,756.76 is: 2,425.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,818.67 : 3,891.24 = 1,756.76 : x
  2. Step 2: Convert to fraction form
    2,818.67/3,891.24 = 1,756.76/x
  3. Step 3: Cross multiply
    2,818.67x = 3,891.24 × 1,756.76
  4. Step 4: Simplify right side
    2,818.67x = 6,835,974.78
  5. Step 5: Solve for x
    x = 6,835,974.78/2,818.67
  6. Step 6: Final answer
    x = 2,425.25

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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.