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Finding the Fourth Proportional to 1,351.33, 1,856.00 and 1,203.71

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Solution

The fourth proportional to 1,351.33, 1,856.00 and 1,203.71 is: 1,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.33 : 1,856.00 = 1,203.71 : x
  2. Step 2: Convert to fraction form
    1,351.33/1,856.00 = 1,203.71/x
  3. Step 3: Cross multiply
    1,351.33x = 1,856.00 × 1,203.71
  4. Step 4: Simplify right side
    1,351.33x = 2,234,079.49
  5. Step 5: Solve for x
    x = 2,234,079.49/1,351.33
  6. Step 6: Final answer
    x = 1,653.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.