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Finding the Fourth Proportional to 5,151.80, 7,723.08 and 1,864.12

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Solution

The fourth proportional to 5,151.80, 7,723.08 and 1,864.12 is: 2,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.80 : 7,723.08 = 1,864.12 : x
  2. Step 2: Convert to fraction form
    5,151.80/7,723.08 = 1,864.12/x
  3. Step 3: Cross multiply
    5,151.80x = 7,723.08 × 1,864.12
  4. Step 4: Simplify right side
    5,151.80x = 14,396,747.89
  5. Step 5: Solve for x
    x = 14,396,747.89/5,151.80
  6. Step 6: Final answer
    x = 2,794.51

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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.