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Finding the Fourth Proportional to 5,216.42, 7,819.14 and 1,927.40

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Solution

The fourth proportional to 5,216.42, 7,819.14 and 1,927.40 is: 2,889.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.42 : 7,819.14 = 1,927.40 : x
  2. Step 2: Convert to fraction form
    5,216.42/7,819.14 = 1,927.40/x
  3. Step 3: Cross multiply
    5,216.42x = 7,819.14 × 1,927.40
  4. Step 4: Simplify right side
    5,216.42x = 15,070,610.44
  5. Step 5: Solve for x
    x = 15,070,610.44/5,216.42
  6. Step 6: Final answer
    x = 2,889.07

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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.