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Finding the Fourth Proportional to 7,083.81, 9,770.31 and 4,689.54

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Solution

The fourth proportional to 7,083.81, 9,770.31 and 4,689.54 is: 6,468.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.81 : 9,770.31 = 4,689.54 : x
  2. Step 2: Convert to fraction form
    7,083.81/9,770.31 = 4,689.54/x
  3. Step 3: Cross multiply
    7,083.81x = 9,770.31 × 4,689.54
  4. Step 4: Simplify right side
    7,083.81x = 45,818,259.56
  5. Step 5: Solve for x
    x = 45,818,259.56/7,083.81
  6. Step 6: Final answer
    x = 6,468.02

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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.