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Finding the Fourth Proportional to 5,182.74, 7,772.76 and 2,406.68

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Solution

The fourth proportional to 5,182.74, 7,772.76 and 2,406.68 is: 3,609.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.74 : 7,772.76 = 2,406.68 : x
  2. Step 2: Convert to fraction form
    5,182.74/7,772.76 = 2,406.68/x
  3. Step 3: Cross multiply
    5,182.74x = 7,772.76 × 2,406.68
  4. Step 4: Simplify right side
    5,182.74x = 18,706,546.04
  5. Step 5: Solve for x
    x = 18,706,546.04/5,182.74
  6. Step 6: Final answer
    x = 3,609.39

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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.