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Finding the Fourth Proportional to 2,751.42, 4,127.49 and 803.59

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Solution

The fourth proportional to 2,751.42, 4,127.49 and 803.59 is: 1,205.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.42 : 4,127.49 = 803.59 : x
  2. Step 2: Convert to fraction form
    2,751.42/4,127.49 = 803.59/x
  3. Step 3: Cross multiply
    2,751.42x = 4,127.49 × 803.59
  4. Step 4: Simplify right side
    2,751.42x = 3,316,809.69
  5. Step 5: Solve for x
    x = 3,316,809.69/2,751.42
  6. Step 6: Final answer
    x = 1,205.49

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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.