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Finding the Fourth Proportional to 9,930.78, 13,678.20 and 7,404.80

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Solution

The fourth proportional to 9,930.78, 13,678.20 and 7,404.80 is: 10,199.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,930.78 : 13,678.20 = 7,404.80 : x
  2. Step 2: Convert to fraction form
    9,930.78/13,678.20 = 7,404.80/x
  3. Step 3: Cross multiply
    9,930.78x = 13,678.20 × 7,404.80
  4. Step 4: Simplify right side
    9,930.78x = 101,284,266.97
  5. Step 5: Solve for x
    x = 101,284,266.97/9,930.78
  6. Step 6: Final answer
    x = 10,199.02

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1.5x scale

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.