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Finding the Fourth Proportional to 8,323.47, 11,487.42 and 4,786.65

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Solution

The fourth proportional to 8,323.47, 11,487.42 and 4,786.65 is: 6,606.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.47 : 11,487.42 = 4,786.65 : x
  2. Step 2: Convert to fraction form
    8,323.47/11,487.42 = 4,786.65/x
  3. Step 3: Cross multiply
    8,323.47x = 11,487.42 × 4,786.65
  4. Step 4: Simplify right side
    8,323.47x = 54,986,258.94
  5. Step 5: Solve for x
    x = 54,986,258.94/8,323.47
  6. Step 6: Final answer
    x = 6,606.17

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1.5x scale

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.