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Finding the Fourth Proportional to 8,478.29, 11,693.11 and 5,968.71

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Solution

The fourth proportional to 8,478.29, 11,693.11 and 5,968.71 is: 8,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.29 : 11,693.11 = 5,968.71 : x
  2. Step 2: Convert to fraction form
    8,478.29/11,693.11 = 5,968.71/x
  3. Step 3: Cross multiply
    8,478.29x = 11,693.11 × 5,968.71
  4. Step 4: Simplify right side
    8,478.29x = 69,792,782.59
  5. Step 5: Solve for x
    x = 69,792,782.59/8,478.29
  6. Step 6: Final answer
    x = 8,231.94

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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.