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Finding the Fourth Proportional to 2,620.72, 3,931.68 and 771.76

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Solution

The fourth proportional to 2,620.72, 3,931.68 and 771.76 is: 1,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,620.72 : 3,931.68 = 771.76 : x
  2. Step 2: Convert to fraction form
    2,620.72/3,931.68 = 771.76/x
  3. Step 3: Cross multiply
    2,620.72x = 3,931.68 × 771.76
  4. Step 4: Simplify right side
    2,620.72x = 3,034,313.36
  5. Step 5: Solve for x
    x = 3,034,313.36/2,620.72
  6. Step 6: Final answer
    x = 1,157.82

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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.