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Finding the Fourth Proportional to 7,965.35, 10,991.30 and 4,778.76

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Solution

The fourth proportional to 7,965.35, 10,991.30 and 4,778.76 is: 6,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.35 : 10,991.30 = 4,778.76 : x
  2. Step 2: Convert to fraction form
    7,965.35/10,991.30 = 4,778.76/x
  3. Step 3: Cross multiply
    7,965.35x = 10,991.30 × 4,778.76
  4. Step 4: Simplify right side
    7,965.35x = 52,524,784.79
  5. Step 5: Solve for x
    x = 52,524,784.79/7,965.35
  6. Step 6: Final answer
    x = 6,594.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.