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Finding the Fourth Proportional to 7,778.88, 11,646.45 and 6,991.56

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Solution

The fourth proportional to 7,778.88, 11,646.45 and 6,991.56 is: 10,467.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.88 : 11,646.45 = 6,991.56 : x
  2. Step 2: Convert to fraction form
    7,778.88/11,646.45 = 6,991.56/x
  3. Step 3: Cross multiply
    7,778.88x = 11,646.45 × 6,991.56
  4. Step 4: Simplify right side
    7,778.88x = 81,426,853.96
  5. Step 5: Solve for x
    x = 81,426,853.96/7,778.88
  6. Step 6: Final answer
    x = 10,467.68

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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.