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Finding the Fourth Proportional to 4,780.66, 7,171 and 1,318.18

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Solution

The fourth proportional to 4,780.66, 7,171 and 1,318.18 is: 1,977.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,780.66 : 7,171 = 1,318.18 : x
  2. Step 2: Convert to fraction form
    4,780.66/7,171 = 1,318.18/x
  3. Step 3: Cross multiply
    4,780.66x = 7,171 × 1,318.18
  4. Step 4: Simplify right side
    4,780.66x = 9,452,668.78
  5. Step 5: Solve for x
    x = 9,452,668.78/4,780.66
  6. Step 6: Final answer
    x = 1,977.27

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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.