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Finding the Fourth Proportional to 15,002.76, 20,704 and 8,288.68

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Solution

The fourth proportional to 15,002.76, 20,704 and 8,288.68 is: 11,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,002.76 : 20,704 = 8,288.68 : x
  2. Step 2: Convert to fraction form
    15,002.76/20,704 = 8,288.68/x
  3. Step 3: Cross multiply
    15,002.76x = 20,704 × 8,288.68
  4. Step 4: Simplify right side
    15,002.76x = 171,608,830.72
  5. Step 5: Solve for x
    x = 171,608,830.72/15,002.76
  6. Step 6: Final answer
    x = 11,438.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.