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Finding the Fourth Proportional to 3,179.25, 4,769.01 and 870.75

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Solution

The fourth proportional to 3,179.25, 4,769.01 and 870.75 is: 1,306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,179.25 : 4,769.01 = 870.75 : x
  2. Step 2: Convert to fraction form
    3,179.25/4,769.01 = 870.75/x
  3. Step 3: Cross multiply
    3,179.25x = 4,769.01 × 870.75
  4. Step 4: Simplify right side
    3,179.25x = 4,152,615.46
  5. Step 5: Solve for x
    x = 4,152,615.46/3,179.25
  6. Step 6: Final answer
    x = 1,306.16

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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.