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Finding the Fourth Proportional to 5,226.64, 7,835 and 1,938.88

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Solution

The fourth proportional to 5,226.64, 7,835 and 1,938.88 is: 2,906.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,226.64 : 7,835 = 1,938.88 : x
  2. Step 2: Convert to fraction form
    5,226.64/7,835 = 1,938.88/x
  3. Step 3: Cross multiply
    5,226.64x = 7,835 × 1,938.88
  4. Step 4: Simplify right side
    5,226.64x = 15,191,124.80
  5. Step 5: Solve for x
    x = 15,191,124.80/5,226.64
  6. Step 6: Final answer
    x = 2,906.48

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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.