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Finding the Fourth Proportional to 7,857, 10,842.96 and 4,320.14

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Solution

The fourth proportional to 7,857, 10,842.96 and 4,320.14 is: 5,961.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857 : 10,842.96 = 4,320.14 : x
  2. Step 2: Convert to fraction form
    7,857/10,842.96 = 4,320.14/x
  3. Step 3: Cross multiply
    7,857x = 10,842.96 × 4,320.14
  4. Step 4: Simplify right side
    7,857x = 46,843,067.20
  5. Step 5: Solve for x
    x = 46,843,067.20/7,857
  6. Step 6: Final answer
    x = 5,961.95

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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.