Home / 12,814.14-17,680.49-7,778.24

Finding the Fourth Proportional to 12,814.14, 17,680.49 and 7,778.24

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Solution

The fourth proportional to 12,814.14, 17,680.49 and 7,778.24 is: 10,732.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,814.14 : 17,680.49 = 7,778.24 : x
  2. Step 2: Convert to fraction form
    12,814.14/17,680.49 = 7,778.24/x
  3. Step 3: Cross multiply
    12,814.14x = 17,680.49 × 7,778.24
  4. Step 4: Simplify right side
    12,814.14x = 137,523,006.14
  5. Step 5: Solve for x
    x = 137,523,006.14/12,814.14
  6. Step 6: Final answer
    x = 10,732.13

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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.