Home / 11,821.78-16,314.11-7,106.14

Finding the Fourth Proportional to 11,821.78, 16,314.11 and 7,106.14

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Solution

The fourth proportional to 11,821.78, 16,314.11 and 7,106.14 is: 9,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.78 : 16,314.11 = 7,106.14 : x
  2. Step 2: Convert to fraction form
    11,821.78/16,314.11 = 7,106.14/x
  3. Step 3: Cross multiply
    11,821.78x = 16,314.11 × 7,106.14
  4. Step 4: Simplify right side
    11,821.78x = 115,930,349.64
  5. Step 5: Solve for x
    x = 115,930,349.64/11,821.78
  6. Step 6: Final answer
    x = 9,806.51

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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.