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Finding the Fourth Proportional to 8,030.88, 12,046.08 and 7,812

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Solution

The fourth proportional to 8,030.88, 12,046.08 and 7,812 is: 11,717.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.88 : 12,046.08 = 7,812 : x
  2. Step 2: Convert to fraction form
    8,030.88/12,046.08 = 7,812/x
  3. Step 3: Cross multiply
    8,030.88x = 12,046.08 × 7,812
  4. Step 4: Simplify right side
    8,030.88x = 94,103,976.96
  5. Step 5: Solve for x
    x = 94,103,976.96/8,030.88
  6. Step 6: Final answer
    x = 11,717.77

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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.