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Finding the Fourth Proportional to 7,768.28, 11,655.66 and 4,648.16

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Solution

The fourth proportional to 7,768.28, 11,655.66 and 4,648.16 is: 6,974.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.28 : 11,655.66 = 4,648.16 : x
  2. Step 2: Convert to fraction form
    7,768.28/11,655.66 = 4,648.16/x
  3. Step 3: Cross multiply
    7,768.28x = 11,655.66 × 4,648.16
  4. Step 4: Simplify right side
    7,768.28x = 54,177,372.59
  5. Step 5: Solve for x
    x = 54,177,372.59/7,768.28
  6. Step 6: Final answer
    x = 6,974.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.