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Finding the Fourth Proportional to 3,190.25, 4,785.65 and 881.75

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Solution

The fourth proportional to 3,190.25, 4,785.65 and 881.75 is: 1,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,190.25 : 4,785.65 = 881.75 : x
  2. Step 2: Convert to fraction form
    3,190.25/4,785.65 = 881.75/x
  3. Step 3: Cross multiply
    3,190.25x = 4,785.65 × 881.75
  4. Step 4: Simplify right side
    3,190.25x = 4,219,746.89
  5. Step 5: Solve for x
    x = 4,219,746.89/3,190.25
  6. Step 6: Final answer
    x = 1,322.70

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1.5x scale

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.