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Finding the Fourth Proportional to 7,241, 9,993.08 and 4,097.20

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Solution

The fourth proportional to 7,241, 9,993.08 and 4,097.20 is: 5,654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241 : 9,993.08 = 4,097.20 : x
  2. Step 2: Convert to fraction form
    7,241/9,993.08 = 4,097.20/x
  3. Step 3: Cross multiply
    7,241x = 9,993.08 × 4,097.20
  4. Step 4: Simplify right side
    7,241x = 40,943,647.38
  5. Step 5: Solve for x
    x = 40,943,647.38/7,241
  6. Step 6: Final answer
    x = 5,654.42

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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.