Home / 8,524-12,786.16-2,368.16

Finding the Fourth Proportional to 8,524, 12,786.16 and 2,368.16

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Solution

The fourth proportional to 8,524, 12,786.16 and 2,368.16 is: 3,552.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524 : 12,786.16 = 2,368.16 : x
  2. Step 2: Convert to fraction form
    8,524/12,786.16 = 2,368.16/x
  3. Step 3: Cross multiply
    8,524x = 12,786.16 × 2,368.16
  4. Step 4: Simplify right side
    8,524x = 30,279,672.67
  5. Step 5: Solve for x
    x = 30,279,672.67/8,524
  6. Step 6: Final answer
    x = 3,552.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.