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Finding the Fourth Proportional to 10,530.28, 15,788.22 and 7,199.08

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Solution

The fourth proportional to 10,530.28, 15,788.22 and 7,199.08 is: 10,793.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,530.28 : 15,788.22 = 7,199.08 : x
  2. Step 2: Convert to fraction form
    10,530.28/15,788.22 = 7,199.08/x
  3. Step 3: Cross multiply
    10,530.28x = 15,788.22 × 7,199.08
  4. Step 4: Simplify right side
    10,530.28x = 113,660,658.84
  5. Step 5: Solve for x
    x = 113,660,658.84/10,530.28
  6. Step 6: Final answer
    x = 10,793.70

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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.