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Finding the Fourth Proportional to 5,425.66, 8,139.14 and 1,914.94

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Solution

The fourth proportional to 5,425.66, 8,139.14 and 1,914.94 is: 2,872.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.66 : 8,139.14 = 1,914.94 : x
  2. Step 2: Convert to fraction form
    5,425.66/8,139.14 = 1,914.94/x
  3. Step 3: Cross multiply
    5,425.66x = 8,139.14 × 1,914.94
  4. Step 4: Simplify right side
    5,425.66x = 15,585,964.75
  5. Step 5: Solve for x
    x = 15,585,964.75/5,425.66
  6. Step 6: Final answer
    x = 2,872.64

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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.