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Finding the Fourth Proportional to 8,471.69, 11,696.76 and 6,478.77

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Solution

The fourth proportional to 8,471.69, 11,696.76 and 6,478.77 is: 8,945.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.69 : 11,696.76 = 6,478.77 : x
  2. Step 2: Convert to fraction form
    8,471.69/11,696.76 = 6,478.77/x
  3. Step 3: Cross multiply
    8,471.69x = 11,696.76 × 6,478.77
  4. Step 4: Simplify right side
    8,471.69x = 75,780,617.79
  5. Step 5: Solve for x
    x = 75,780,617.79/8,471.69
  6. Step 6: Final answer
    x = 8,945.16

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Double scale
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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.