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Finding the Fourth Proportional to 6,920.66, 10,382.98 and 3,411.71

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Solution

The fourth proportional to 6,920.66, 10,382.98 and 3,411.71 is: 5,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.66 : 10,382.98 = 3,411.71 : x
  2. Step 2: Convert to fraction form
    6,920.66/10,382.98 = 3,411.71/x
  3. Step 3: Cross multiply
    6,920.66x = 10,382.98 × 3,411.71
  4. Step 4: Simplify right side
    6,920.66x = 35,423,734.12
  5. Step 5: Solve for x
    x = 35,423,734.12/6,920.66
  6. Step 6: Final answer
    x = 5,118.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.