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Finding the Fourth Proportional to 19,138.34, 28,680.78 and 9,275

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Solution

The fourth proportional to 19,138.34, 28,680.78 and 9,275 is: 13,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,138.34 : 28,680.78 = 9,275 : x
  2. Step 2: Convert to fraction form
    19,138.34/28,680.78 = 9,275/x
  3. Step 3: Cross multiply
    19,138.34x = 28,680.78 × 9,275
  4. Step 4: Simplify right side
    19,138.34x = 266,014,234.50
  5. Step 5: Solve for x
    x = 266,014,234.50/19,138.34
  6. Step 6: Final answer
    x = 13,899.55

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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.