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Finding the Fourth Proportional to 6,918, 10,378.08 and 2,302.08

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Solution

The fourth proportional to 6,918, 10,378.08 and 2,302.08 is: 3,453.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,918 : 10,378.08 = 2,302.08 : x
  2. Step 2: Convert to fraction form
    6,918/10,378.08 = 2,302.08/x
  3. Step 3: Cross multiply
    6,918x = 10,378.08 × 2,302.08
  4. Step 4: Simplify right side
    6,918x = 23,891,170.41
  5. Step 5: Solve for x
    x = 23,891,170.41/6,918
  6. Step 6: Final answer
    x = 3,453.48

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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.