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Finding the Fourth Proportional to 6,869.54, 10,355.79 and 6,411.80

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Solution

The fourth proportional to 6,869.54, 10,355.79 and 6,411.80 is: 9,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,869.54 : 10,355.79 = 6,411.80 : x
  2. Step 2: Convert to fraction form
    6,869.54/10,355.79 = 6,411.80/x
  3. Step 3: Cross multiply
    6,869.54x = 10,355.79 × 6,411.80
  4. Step 4: Simplify right side
    6,869.54x = 66,399,170.48
  5. Step 5: Solve for x
    x = 66,399,170.48/6,869.54
  6. Step 6: Final answer
    x = 9,665.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.