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Finding the Fourth Proportional to 7,103.78, 9,799.74 and 4,270.40

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Solution

The fourth proportional to 7,103.78, 9,799.74 and 4,270.40 is: 5,891.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.78 : 9,799.74 = 4,270.40 : x
  2. Step 2: Convert to fraction form
    7,103.78/9,799.74 = 4,270.40/x
  3. Step 3: Cross multiply
    7,103.78x = 9,799.74 × 4,270.40
  4. Step 4: Simplify right side
    7,103.78x = 41,848,760.70
  5. Step 5: Solve for x
    x = 41,848,760.70/7,103.78
  6. Step 6: Final answer
    x = 5,891.06

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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.