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Finding the Fourth Proportional to 7,151.26, 10,727.46 and 1,957

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Solution

The fourth proportional to 7,151.26, 10,727.46 and 1,957 is: 2,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.26 : 10,727.46 = 1,957 : x
  2. Step 2: Convert to fraction form
    7,151.26/10,727.46 = 1,957/x
  3. Step 3: Cross multiply
    7,151.26x = 10,727.46 × 1,957
  4. Step 4: Simplify right side
    7,151.26x = 20,993,639.22
  5. Step 5: Solve for x
    x = 20,993,639.22/7,151.26
  6. Step 6: Final answer
    x = 2,935.66

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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.