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Finding the Fourth Proportional to 3,478.73, 5,218.69 and 1,530.88

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Solution

The fourth proportional to 3,478.73, 5,218.69 and 1,530.88 is: 2,296.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.73 : 5,218.69 = 1,530.88 : x
  2. Step 2: Convert to fraction form
    3,478.73/5,218.69 = 1,530.88/x
  3. Step 3: Cross multiply
    3,478.73x = 5,218.69 × 1,530.88
  4. Step 4: Simplify right side
    3,478.73x = 7,989,162.05
  5. Step 5: Solve for x
    x = 7,989,162.05/3,478.73
  6. Step 6: Final answer
    x = 2,296.58

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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.