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Finding the Fourth Proportional to 2,763.76, 3,815.40 and 2,132.87

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Solution

The fourth proportional to 2,763.76, 3,815.40 and 2,132.87 is: 2,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.76 : 3,815.40 = 2,132.87 : x
  2. Step 2: Convert to fraction form
    2,763.76/3,815.40 = 2,132.87/x
  3. Step 3: Cross multiply
    2,763.76x = 3,815.40 × 2,132.87
  4. Step 4: Simplify right side
    2,763.76x = 8,137,752.20
  5. Step 5: Solve for x
    x = 8,137,752.20/2,763.76
  6. Step 6: Final answer
    x = 2,944.45

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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.