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Finding the Fourth Proportional to 10,528.88, 15,788.03 and 3,506.42

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Solution

The fourth proportional to 10,528.88, 15,788.03 and 3,506.42 is: 5,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,528.88 : 15,788.03 = 3,506.42 : x
  2. Step 2: Convert to fraction form
    10,528.88/15,788.03 = 3,506.42/x
  3. Step 3: Cross multiply
    10,528.88x = 15,788.03 × 3,506.42
  4. Step 4: Simplify right side
    10,528.88x = 55,359,367.68
  5. Step 5: Solve for x
    x = 55,359,367.68/10,528.88
  6. Step 6: Final answer
    x = 5,257.86

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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.