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Finding the Fourth Proportional to 6,918, 10,376.90 and 3,218.16

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Solution

The fourth proportional to 6,918, 10,376.90 and 3,218.16 is: 4,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918 : 10,376.90 = 3,218.16 : x
  2. Step 2: Convert to fraction form
    6,918/10,376.90 = 3,218.16/x
  3. Step 3: Cross multiply
    6,918x = 10,376.90 × 3,218.16
  4. Step 4: Simplify right side
    6,918x = 33,394,508.41
  5. Step 5: Solve for x
    x = 33,394,508.41/6,918
  6. Step 6: Final answer
    x = 4,827.19

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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.