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Finding the Fourth Proportional to 7,241.87, 10,856.63 and 6,897.42

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Solution

The fourth proportional to 7,241.87, 10,856.63 and 6,897.42 is: 10,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.87 : 10,856.63 = 6,897.42 : x
  2. Step 2: Convert to fraction form
    7,241.87/10,856.63 = 6,897.42/x
  3. Step 3: Cross multiply
    7,241.87x = 10,856.63 × 6,897.42
  4. Step 4: Simplify right side
    7,241.87x = 74,882,754.14
  5. Step 5: Solve for x
    x = 74,882,754.14/7,241.87
  6. Step 6: Final answer
    x = 10,340.25

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1.5x scale

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.