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Finding the Fourth Proportional to 5,182.70, 7,773.90 and 1,287.09

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Solution

The fourth proportional to 5,182.70, 7,773.90 and 1,287.09 is: 1,930.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.70 : 7,773.90 = 1,287.09 : x
  2. Step 2: Convert to fraction form
    5,182.70/7,773.90 = 1,287.09/x
  3. Step 3: Cross multiply
    5,182.70x = 7,773.90 × 1,287.09
  4. Step 4: Simplify right side
    5,182.70x = 10,005,704.12
  5. Step 5: Solve for x
    x = 10,005,704.12/5,182.70
  6. Step 6: Final answer
    x = 1,930.60

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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.