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Finding the Fourth Proportional to 7,663.60, 11,490.72 and 3,278.56

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Solution

The fourth proportional to 7,663.60, 11,490.72 and 3,278.56 is: 4,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,663.60 : 11,490.72 = 3,278.56 : x
  2. Step 2: Convert to fraction form
    7,663.60/11,490.72 = 3,278.56/x
  3. Step 3: Cross multiply
    7,663.60x = 11,490.72 × 3,278.56
  4. Step 4: Simplify right side
    7,663.60x = 37,673,014.96
  5. Step 5: Solve for x
    x = 37,673,014.96/7,663.60
  6. Step 6: Final answer
    x = 4,915.84

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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.