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Finding the Fourth Proportional to 2,719.04, 4,077.84 and 771.32

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Solution

The fourth proportional to 2,719.04, 4,077.84 and 771.32 is: 1,156.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.04 : 4,077.84 = 771.32 : x
  2. Step 2: Convert to fraction form
    2,719.04/4,077.84 = 771.32/x
  3. Step 3: Cross multiply
    2,719.04x = 4,077.84 × 771.32
  4. Step 4: Simplify right side
    2,719.04x = 3,145,319.55
  5. Step 5: Solve for x
    x = 3,145,319.55/2,719.04
  6. Step 6: Final answer
    x = 1,156.78

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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.