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Finding the Fourth Proportional to 7,868.14, 10,857.54 and 7,241.20

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Solution

The fourth proportional to 7,868.14, 10,857.54 and 7,241.20 is: 9,992.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.14 : 10,857.54 = 7,241.20 : x
  2. Step 2: Convert to fraction form
    7,868.14/10,857.54 = 7,241.20/x
  3. Step 3: Cross multiply
    7,868.14x = 10,857.54 × 7,241.20
  4. Step 4: Simplify right side
    7,868.14x = 78,621,618.66
  5. Step 5: Solve for x
    x = 78,621,618.66/7,868.14
  6. Step 6: Final answer
    x = 9,992.41

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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.