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Finding the Fourth Proportional to 5,380.12, 8,070.18 and 1,914.94

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Solution

The fourth proportional to 5,380.12, 8,070.18 and 1,914.94 is: 2,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.12 : 8,070.18 = 1,914.94 : x
  2. Step 2: Convert to fraction form
    5,380.12/8,070.18 = 1,914.94/x
  3. Step 3: Cross multiply
    5,380.12x = 8,070.18 × 1,914.94
  4. Step 4: Simplify right side
    5,380.12x = 15,453,890.31
  5. Step 5: Solve for x
    x = 15,453,890.31/5,380.12
  6. Step 6: Final answer
    x = 2,872.41

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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.