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Finding the Fourth Proportional to 1,901.42, 2,850.16 and 731.10

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Solution

The fourth proportional to 1,901.42, 2,850.16 and 731.10 is: 1,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,901.42 : 2,850.16 = 731.10 : x
  2. Step 2: Convert to fraction form
    1,901.42/2,850.16 = 731.10/x
  3. Step 3: Cross multiply
    1,901.42x = 2,850.16 × 731.10
  4. Step 4: Simplify right side
    1,901.42x = 2,083,751.98
  5. Step 5: Solve for x
    x = 2,083,751.98/1,901.42
  6. Step 6: Final answer
    x = 1,095.89

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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.