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Finding the Fourth Proportional to 8,435.34, 11,578.55 and 8,074.49

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Solution

The fourth proportional to 8,435.34, 11,578.55 and 8,074.49 is: 11,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.34 : 11,578.55 = 8,074.49 : x
  2. Step 2: Convert to fraction form
    8,435.34/11,578.55 = 8,074.49/x
  3. Step 3: Cross multiply
    8,435.34x = 11,578.55 × 8,074.49
  4. Step 4: Simplify right side
    8,435.34x = 93,490,787.92
  5. Step 5: Solve for x
    x = 93,490,787.92/8,435.34
  6. Step 6: Final answer
    x = 11,083.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.