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Finding the Fourth Proportional to 2,153.61, 3,232.49 and 1,333.49

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Solution

The fourth proportional to 2,153.61, 3,232.49 and 1,333.49 is: 2,001.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.61 : 3,232.49 = 1,333.49 : x
  2. Step 2: Convert to fraction form
    2,153.61/3,232.49 = 1,333.49/x
  3. Step 3: Cross multiply
    2,153.61x = 3,232.49 × 1,333.49
  4. Step 4: Simplify right side
    2,153.61x = 4,310,470.26
  5. Step 5: Solve for x
    x = 4,310,470.26/2,153.61
  6. Step 6: Final answer
    x = 2,001.51

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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.