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Finding the Fourth Proportional to 1,357, 1,872.60 and 751.28

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Solution

The fourth proportional to 1,357, 1,872.60 and 751.28 is: 1,036.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357 : 1,872.60 = 751.28 : x
  2. Step 2: Convert to fraction form
    1,357/1,872.60 = 751.28/x
  3. Step 3: Cross multiply
    1,357x = 1,872.60 × 751.28
  4. Step 4: Simplify right side
    1,357x = 1,406,846.93
  5. Step 5: Solve for x
    x = 1,406,846.93/1,357
  6. Step 6: Final answer
    x = 1,036.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.