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Finding the Fourth Proportional to 2,751.29, 4,127.31 and 803.47

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Solution

The fourth proportional to 2,751.29, 4,127.31 and 803.47 is: 1,205.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.29 : 4,127.31 = 803.47 : x
  2. Step 2: Convert to fraction form
    2,751.29/4,127.31 = 803.47/x
  3. Step 3: Cross multiply
    2,751.29x = 4,127.31 × 803.47
  4. Step 4: Simplify right side
    2,751.29x = 3,316,145.11
  5. Step 5: Solve for x
    x = 3,316,145.11/2,751.29
  6. Step 6: Final answer
    x = 1,205.31

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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.