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Finding the Fourth Proportional to 5,690.88, 7,853.31 and 3,206.88

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Solution

The fourth proportional to 5,690.88, 7,853.31 and 3,206.88 is: 4,425.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.88 : 7,853.31 = 3,206.88 : x
  2. Step 2: Convert to fraction form
    5,690.88/7,853.31 = 3,206.88/x
  3. Step 3: Cross multiply
    5,690.88x = 7,853.31 × 3,206.88
  4. Step 4: Simplify right side
    5,690.88x = 25,184,622.77
  5. Step 5: Solve for x
    x = 25,184,622.77/5,690.88
  6. Step 6: Final answer
    x = 4,425.44

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Half scale
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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.