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Finding the Fourth Proportional to 8,809.84, 13,207.32 and 4,127.40

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Solution

The fourth proportional to 8,809.84, 13,207.32 and 4,127.40 is: 6,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.84 : 13,207.32 = 4,127.40 : x
  2. Step 2: Convert to fraction form
    8,809.84/13,207.32 = 4,127.40/x
  3. Step 3: Cross multiply
    8,809.84x = 13,207.32 × 4,127.40
  4. Step 4: Simplify right side
    8,809.84x = 54,511,892.57
  5. Step 5: Solve for x
    x = 54,511,892.57/8,809.84
  6. Step 6: Final answer
    x = 6,187.61

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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.