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Finding the Fourth Proportional to 7,761.42, 10,709.01 and 6,507.54

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Solution

The fourth proportional to 7,761.42, 10,709.01 and 6,507.54 is: 8,978.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.42 : 10,709.01 = 6,507.54 : x
  2. Step 2: Convert to fraction form
    7,761.42/10,709.01 = 6,507.54/x
  3. Step 3: Cross multiply
    7,761.42x = 10,709.01 × 6,507.54
  4. Step 4: Simplify right side
    7,761.42x = 69,689,310.94
  5. Step 5: Solve for x
    x = 69,689,310.94/7,761.42
  6. Step 6: Final answer
    x = 8,978.94

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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.