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Finding the Fourth Proportional to 7,658.78, 11,487.78 and 3,215.30

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Solution

The fourth proportional to 7,658.78, 11,487.78 and 3,215.30 is: 4,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.78 : 11,487.78 = 3,215.30 : x
  2. Step 2: Convert to fraction form
    7,658.78/11,487.78 = 3,215.30/x
  3. Step 3: Cross multiply
    7,658.78x = 11,487.78 × 3,215.30
  4. Step 4: Simplify right side
    7,658.78x = 36,936,601.60
  5. Step 5: Solve for x
    x = 36,936,601.60/7,658.78
  6. Step 6: Final answer
    x = 4,822.78

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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.