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Finding the Fourth Proportional to 3,251.68, 4,877.53 and 786.50

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Solution

The fourth proportional to 3,251.68, 4,877.53 and 786.50 is: 1,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.68 : 4,877.53 = 786.50 : x
  2. Step 2: Convert to fraction form
    3,251.68/4,877.53 = 786.50/x
  3. Step 3: Cross multiply
    3,251.68x = 4,877.53 × 786.50
  4. Step 4: Simplify right side
    3,251.68x = 3,836,177.35
  5. Step 5: Solve for x
    x = 3,836,177.35/3,251.68
  6. Step 6: Final answer
    x = 1,179.75

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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.