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Finding the Fourth Proportional to 5,065.82, 6,988.17 and 4,122.67

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Solution

The fourth proportional to 5,065.82, 6,988.17 and 4,122.67 is: 5,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.82 : 6,988.17 = 4,122.67 : x
  2. Step 2: Convert to fraction form
    5,065.82/6,988.17 = 4,122.67/x
  3. Step 3: Cross multiply
    5,065.82x = 6,988.17 × 4,122.67
  4. Step 4: Simplify right side
    5,065.82x = 28,809,918.81
  5. Step 5: Solve for x
    x = 28,809,918.81/5,065.82
  6. Step 6: Final answer
    x = 5,687.12

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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.