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Finding the Fourth Proportional to 5,151.39, 7,727.09 and 1,255.77

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Solution

The fourth proportional to 5,151.39, 7,727.09 and 1,255.77 is: 1,883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.39 : 7,727.09 = 1,255.77 : x
  2. Step 2: Convert to fraction form
    5,151.39/7,727.09 = 1,255.77/x
  3. Step 3: Cross multiply
    5,151.39x = 7,727.09 × 1,255.77
  4. Step 4: Simplify right side
    5,151.39x = 9,703,441.53
  5. Step 5: Solve for x
    x = 9,703,441.53/5,151.39
  6. Step 6: Final answer
    x = 1,883.66

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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.