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Finding the Fourth Proportional to 7,111.65, 9,814 and 3,924.97

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Solution

The fourth proportional to 7,111.65, 9,814 and 3,924.97 is: 5,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.65 : 9,814 = 3,924.97 : x
  2. Step 2: Convert to fraction form
    7,111.65/9,814 = 3,924.97/x
  3. Step 3: Cross multiply
    7,111.65x = 9,814 × 3,924.97
  4. Step 4: Simplify right side
    7,111.65x = 38,519,655.58
  5. Step 5: Solve for x
    x = 38,519,655.58/7,111.65
  6. Step 6: Final answer
    x = 5,416.42

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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.