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Finding the Fourth Proportional to 7,857, 10,849.14 and 6,873.66

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Solution

The fourth proportional to 7,857, 10,849.14 and 6,873.66 is: 9,491.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857 : 10,849.14 = 6,873.66 : x
  2. Step 2: Convert to fraction form
    7,857/10,849.14 = 6,873.66/x
  3. Step 3: Cross multiply
    7,857x = 10,849.14 × 6,873.66
  4. Step 4: Simplify right side
    7,857x = 74,573,299.65
  5. Step 5: Solve for x
    x = 74,573,299.65/7,857
  6. Step 6: Final answer
    x = 9,491.32

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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.