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Finding the Fourth Proportional to 7,770.40, 10,723.16 and 4,233.53

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Solution

The fourth proportional to 7,770.40, 10,723.16 and 4,233.53 is: 5,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.40 : 10,723.16 = 4,233.53 : x
  2. Step 2: Convert to fraction form
    7,770.40/10,723.16 = 4,233.53/x
  3. Step 3: Cross multiply
    7,770.40x = 10,723.16 × 4,233.53
  4. Step 4: Simplify right side
    7,770.40x = 45,396,856.95
  5. Step 5: Solve for x
    x = 45,396,856.95/7,770.40
  6. Step 6: Final answer
    x = 5,842.28

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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.