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Finding the Fourth Proportional to 2,331.64, 3,496.56 and 870.46

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Solution

The fourth proportional to 2,331.64, 3,496.56 and 870.46 is: 1,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.64 : 3,496.56 = 870.46 : x
  2. Step 2: Convert to fraction form
    2,331.64/3,496.56 = 870.46/x
  3. Step 3: Cross multiply
    2,331.64x = 3,496.56 × 870.46
  4. Step 4: Simplify right side
    2,331.64x = 3,043,615.62
  5. Step 5: Solve for x
    x = 3,043,615.62/2,331.64
  6. Step 6: Final answer
    x = 1,305.35

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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.