Home / 3,256.25-4,884.51-947.75

Finding the Fourth Proportional to 3,256.25, 4,884.51 and 947.75

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Solution

The fourth proportional to 3,256.25, 4,884.51 and 947.75 is: 1,421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256.25 : 4,884.51 = 947.75 : x
  2. Step 2: Convert to fraction form
    3,256.25/4,884.51 = 947.75/x
  3. Step 3: Cross multiply
    3,256.25x = 4,884.51 × 947.75
  4. Step 4: Simplify right side
    3,256.25x = 4,629,294.35
  5. Step 5: Solve for x
    x = 4,629,294.35/3,256.25
  6. Step 6: Final answer
    x = 1,421.66

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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.