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Finding the Fourth Proportional to 4,306.72, 6,455.22 and 1,964.20

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Solution

The fourth proportional to 4,306.72, 6,455.22 and 1,964.20 is: 2,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.72 : 6,455.22 = 1,964.20 : x
  2. Step 2: Convert to fraction form
    4,306.72/6,455.22 = 1,964.20/x
  3. Step 3: Cross multiply
    4,306.72x = 6,455.22 × 1,964.20
  4. Step 4: Simplify right side
    4,306.72x = 12,679,343.12
  5. Step 5: Solve for x
    x = 12,679,343.12/4,306.72
  6. Step 6: Final answer
    x = 2,944.08

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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.