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Finding the Fourth Proportional to 8,470.62, 12,698.64 and 4,091.13

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Solution

The fourth proportional to 8,470.62, 12,698.64 and 4,091.13 is: 6,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.62 : 12,698.64 = 4,091.13 : x
  2. Step 2: Convert to fraction form
    8,470.62/12,698.64 = 4,091.13/x
  3. Step 3: Cross multiply
    8,470.62x = 12,698.64 × 4,091.13
  4. Step 4: Simplify right side
    8,470.62x = 51,951,787.06
  5. Step 5: Solve for x
    x = 51,951,787.06/8,470.62
  6. Step 6: Final answer
    x = 6,133.17

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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.