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Finding the Fourth Proportional to 7,261.84, 10,891.14 and 2,878.12

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Solution

The fourth proportional to 7,261.84, 10,891.14 and 2,878.12 is: 4,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.84 : 10,891.14 = 2,878.12 : x
  2. Step 2: Convert to fraction form
    7,261.84/10,891.14 = 2,878.12/x
  3. Step 3: Cross multiply
    7,261.84x = 10,891.14 × 2,878.12
  4. Step 4: Simplify right side
    7,261.84x = 31,346,007.86
  5. Step 5: Solve for x
    x = 31,346,007.86/7,261.84
  6. Step 6: Final answer
    x = 4,316.54

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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.