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Finding the Fourth Proportional to 8,356.74, 12,535.20 and 3,422.94

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Solution

The fourth proportional to 8,356.74, 12,535.20 and 3,422.94 is: 5,134.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.74 : 12,535.20 = 3,422.94 : x
  2. Step 2: Convert to fraction form
    8,356.74/12,535.20 = 3,422.94/x
  3. Step 3: Cross multiply
    8,356.74x = 12,535.20 × 3,422.94
  4. Step 4: Simplify right side
    8,356.74x = 42,907,237.49
  5. Step 5: Solve for x
    x = 42,907,237.49/8,356.74
  6. Step 6: Final answer
    x = 5,134.45

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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.