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Finding the Fourth Proportional to 7,773.72, 11,657.47 and 3,388.08

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Solution

The fourth proportional to 7,773.72, 11,657.47 and 3,388.08 is: 5,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.72 : 11,657.47 = 3,388.08 : x
  2. Step 2: Convert to fraction form
    7,773.72/11,657.47 = 3,388.08/x
  3. Step 3: Cross multiply
    7,773.72x = 11,657.47 × 3,388.08
  4. Step 4: Simplify right side
    7,773.72x = 39,496,416.98
  5. Step 5: Solve for x
    x = 39,496,416.98/7,773.72
  6. Step 6: Final answer
    x = 5,080.76

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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.