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Finding the Fourth Proportional to 7,178.88, 10,768.32 and 6,349.44

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Solution

The fourth proportional to 7,178.88, 10,768.32 and 6,349.44 is: 9,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.88 : 10,768.32 = 6,349.44 : x
  2. Step 2: Convert to fraction form
    7,178.88/10,768.32 = 6,349.44/x
  3. Step 3: Cross multiply
    7,178.88x = 10,768.32 × 6,349.44
  4. Step 4: Simplify right side
    7,178.88x = 68,372,801.74
  5. Step 5: Solve for x
    x = 68,372,801.74/7,178.88
  6. Step 6: Final answer
    x = 9,524.16

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.