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Finding the Fourth Proportional to 6,785.68, 10,156.92 and 5,852.56

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Solution

The fourth proportional to 6,785.68, 10,156.92 and 5,852.56 is: 8,760.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.68 : 10,156.92 = 5,852.56 : x
  2. Step 2: Convert to fraction form
    6,785.68/10,156.92 = 5,852.56/x
  3. Step 3: Cross multiply
    6,785.68x = 10,156.92 × 5,852.56
  4. Step 4: Simplify right side
    6,785.68x = 59,443,983.72
  5. Step 5: Solve for x
    x = 59,443,983.72/6,785.68
  6. Step 6: Final answer
    x = 8,760.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.