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Finding the Fourth Proportional to 8,315.73, 12,475.76 and 6,837.39

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Solution

The fourth proportional to 8,315.73, 12,475.76 and 6,837.39 is: 10,257.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.73 : 12,475.76 = 6,837.39 : x
  2. Step 2: Convert to fraction form
    8,315.73/12,475.76 = 6,837.39/x
  3. Step 3: Cross multiply
    8,315.73x = 12,475.76 × 6,837.39
  4. Step 4: Simplify right side
    8,315.73x = 85,301,602.48
  5. Step 5: Solve for x
    x = 85,301,602.48/8,315.73
  6. Step 6: Final answer
    x = 10,257.86

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Why These Related Problems?

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