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Finding the Fourth Proportional to 2,763.40, 4,145.20 and 815.72

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Solution

The fourth proportional to 2,763.40, 4,145.20 and 815.72 is: 1,223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.40 : 4,145.20 = 815.72 : x
  2. Step 2: Convert to fraction form
    2,763.40/4,145.20 = 815.72/x
  3. Step 3: Cross multiply
    2,763.40x = 4,145.20 × 815.72
  4. Step 4: Simplify right side
    2,763.40x = 3,381,322.54
  5. Step 5: Solve for x
    x = 3,381,322.54/2,763.40
  6. Step 6: Final answer
    x = 1,223.61

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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.