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Finding the Fourth Proportional to 2,881.50, 4,322.34 and 801.48

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Solution

The fourth proportional to 2,881.50, 4,322.34 and 801.48 is: 1,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.50 : 4,322.34 = 801.48 : x
  2. Step 2: Convert to fraction form
    2,881.50/4,322.34 = 801.48/x
  3. Step 3: Cross multiply
    2,881.50x = 4,322.34 × 801.48
  4. Step 4: Simplify right side
    2,881.50x = 3,464,269.06
  5. Step 5: Solve for x
    x = 3,464,269.06/2,881.50
  6. Step 6: Final answer
    x = 1,202.25

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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.