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Finding the Fourth Proportional to 3,176.75, 4,765.80 and 985.70

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Solution

The fourth proportional to 3,176.75, 4,765.80 and 985.70 is: 1,478.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.75 : 4,765.80 = 985.70 : x
  2. Step 2: Convert to fraction form
    3,176.75/4,765.80 = 985.70/x
  3. Step 3: Cross multiply
    3,176.75x = 4,765.80 × 985.70
  4. Step 4: Simplify right side
    3,176.75x = 4,697,649.06
  5. Step 5: Solve for x
    x = 4,697,649.06/3,176.75
  6. Step 6: Final answer
    x = 1,478.76

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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.