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Finding the Fourth Proportional to 8,470.06, 11,688.70 and 4,744.06

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Solution

The fourth proportional to 8,470.06, 11,688.70 and 4,744.06 is: 6,546.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,470.06 : 11,688.70 = 4,744.06 : x
  2. Step 2: Convert to fraction form
    8,470.06/11,688.70 = 4,744.06/x
  3. Step 3: Cross multiply
    8,470.06x = 11,688.70 × 4,744.06
  4. Step 4: Simplify right side
    8,470.06x = 55,451,894.12
  5. Step 5: Solve for x
    x = 55,451,894.12/8,470.06
  6. Step 6: Final answer
    x = 6,546.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.