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Finding the Fourth Proportional to 8,062.74, 12,083.78 and 4,355.78

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Solution

The fourth proportional to 8,062.74, 12,083.78 and 4,355.78 is: 6,528.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,062.74 : 12,083.78 = 4,355.78 : x
  2. Step 2: Convert to fraction form
    8,062.74/12,083.78 = 4,355.78/x
  3. Step 3: Cross multiply
    8,062.74x = 12,083.78 × 4,355.78
  4. Step 4: Simplify right side
    8,062.74x = 52,634,237.72
  5. Step 5: Solve for x
    x = 52,634,237.72/8,062.74
  6. Step 6: Final answer
    x = 6,528.08

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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.