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Finding the Fourth Proportional to 10,561.62, 15,842.42 and 2,770.42

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Solution

The fourth proportional to 10,561.62, 15,842.42 and 2,770.42 is: 4,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.62 : 15,842.42 = 2,770.42 : x
  2. Step 2: Convert to fraction form
    10,561.62/15,842.42 = 2,770.42/x
  3. Step 3: Cross multiply
    10,561.62x = 15,842.42 × 2,770.42
  4. Step 4: Simplify right side
    10,561.62x = 43,890,157.22
  5. Step 5: Solve for x
    x = 43,890,157.22/10,561.62
  6. Step 6: Final answer
    x = 4,155.63

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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.