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Finding the Fourth Proportional to 2,152.59, 3,229.08 and 853.75

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Solution

The fourth proportional to 2,152.59, 3,229.08 and 853.75 is: 1,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.59 : 3,229.08 = 853.75 : x
  2. Step 2: Convert to fraction form
    2,152.59/3,229.08 = 853.75/x
  3. Step 3: Cross multiply
    2,152.59x = 3,229.08 × 853.75
  4. Step 4: Simplify right side
    2,152.59x = 2,756,827.05
  5. Step 5: Solve for x
    x = 2,756,827.05/2,152.59
  6. Step 6: Final answer
    x = 1,280.70

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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.