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Finding the Fourth Proportional to 6,512.92, 8,987.62 and 3,680.40

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Solution

The fourth proportional to 6,512.92, 8,987.62 and 3,680.40 is: 5,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.92 : 8,987.62 = 3,680.40 : x
  2. Step 2: Convert to fraction form
    6,512.92/8,987.62 = 3,680.40/x
  3. Step 3: Cross multiply
    6,512.92x = 8,987.62 × 3,680.40
  4. Step 4: Simplify right side
    6,512.92x = 33,078,036.65
  5. Step 5: Solve for x
    x = 33,078,036.65/6,512.92
  6. Step 6: Final answer
    x = 5,078.83

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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.