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Finding the Fourth Proportional to 6,987.80, 9,640.80 and 4,745.78

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Solution

The fourth proportional to 6,987.80, 9,640.80 and 4,745.78 is: 6,547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.80 : 9,640.80 = 4,745.78 : x
  2. Step 2: Convert to fraction form
    6,987.80/9,640.80 = 4,745.78/x
  3. Step 3: Cross multiply
    6,987.80x = 9,640.80 × 4,745.78
  4. Step 4: Simplify right side
    6,987.80x = 45,753,067.62
  5. Step 5: Solve for x
    x = 45,753,067.62/6,987.80
  6. Step 6: Final answer
    x = 6,547.57

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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.