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Finding the Fourth Proportional to 7,151.56, 10,727.82 and 1,957.48

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Solution

The fourth proportional to 7,151.56, 10,727.82 and 1,957.48 is: 2,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.56 : 10,727.82 = 1,957.48 : x
  2. Step 2: Convert to fraction form
    7,151.56/10,727.82 = 1,957.48/x
  3. Step 3: Cross multiply
    7,151.56x = 10,727.82 × 1,957.48
  4. Step 4: Simplify right side
    7,151.56x = 20,999,493.09
  5. Step 5: Solve for x
    x = 20,999,493.09/7,151.56
  6. Step 6: Final answer
    x = 2,936.35

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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.