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Finding the Fourth Proportional to 7,766.94, 10,718.34 and 4,230.18

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Solution

The fourth proportional to 7,766.94, 10,718.34 and 4,230.18 is: 5,837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.94 : 10,718.34 = 4,230.18 : x
  2. Step 2: Convert to fraction form
    7,766.94/10,718.34 = 4,230.18/x
  3. Step 3: Cross multiply
    7,766.94x = 10,718.34 × 4,230.18
  4. Step 4: Simplify right side
    7,766.94x = 45,340,507.50
  5. Step 5: Solve for x
    x = 45,340,507.50/7,766.94
  6. Step 6: Final answer
    x = 5,837.63

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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.