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Finding the Fourth Proportional to 6,920, 10,380 and 2,303.36

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Solution

The fourth proportional to 6,920, 10,380 and 2,303.36 is: 3,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920 : 10,380 = 2,303.36 : x
  2. Step 2: Convert to fraction form
    6,920/10,380 = 2,303.36/x
  3. Step 3: Cross multiply
    6,920x = 10,380 × 2,303.36
  4. Step 4: Simplify right side
    6,920x = 23,908,876.80
  5. Step 5: Solve for x
    x = 23,908,876.80/6,920
  6. Step 6: Final answer
    x = 3,455.04

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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.