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Finding the Fourth Proportional to 3,177.36, 4,766.44 and 985.76

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Solution

The fourth proportional to 3,177.36, 4,766.44 and 985.76 is: 1,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,177.36 : 4,766.44 = 985.76 : x
  2. Step 2: Convert to fraction form
    3,177.36/4,766.44 = 985.76/x
  3. Step 3: Cross multiply
    3,177.36x = 4,766.44 × 985.76
  4. Step 4: Simplify right side
    3,177.36x = 4,698,565.89
  5. Step 5: Solve for x
    x = 4,698,565.89/3,177.36
  6. Step 6: Final answer
    x = 1,478.76

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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.