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Finding the Fourth Proportional to 7,091.68, 9,787.74 and 4,109.35

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Solution

The fourth proportional to 7,091.68, 9,787.74 and 4,109.35 is: 5,671.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.68 : 9,787.74 = 4,109.35 : x
  2. Step 2: Convert to fraction form
    7,091.68/9,787.74 = 4,109.35/x
  3. Step 3: Cross multiply
    7,091.68x = 9,787.74 × 4,109.35
  4. Step 4: Simplify right side
    7,091.68x = 40,221,249.37
  5. Step 5: Solve for x
    x = 40,221,249.37/7,091.68
  6. Step 6: Final answer
    x = 5,671.61

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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.