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Finding the Fourth Proportional to 1,235.71, 1,851.72 and 1,205.13

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Solution

The fourth proportional to 1,235.71, 1,851.72 and 1,205.13 is: 1,805.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.71 : 1,851.72 = 1,205.13 : x
  2. Step 2: Convert to fraction form
    1,235.71/1,851.72 = 1,205.13/x
  3. Step 3: Cross multiply
    1,235.71x = 1,851.72 × 1,205.13
  4. Step 4: Simplify right side
    1,235.71x = 2,231,563.32
  5. Step 5: Solve for x
    x = 2,231,563.32/1,235.71
  6. Step 6: Final answer
    x = 1,805.90

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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.