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Finding the Fourth Proportional to 5,141.70, 7,713.09 and 1,678.50

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Solution

The fourth proportional to 5,141.70, 7,713.09 and 1,678.50 is: 2,517.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.70 : 7,713.09 = 1,678.50 : x
  2. Step 2: Convert to fraction form
    5,141.70/7,713.09 = 1,678.50/x
  3. Step 3: Cross multiply
    5,141.70x = 7,713.09 × 1,678.50
  4. Step 4: Simplify right side
    5,141.70x = 12,946,421.57
  5. Step 5: Solve for x
    x = 12,946,421.57/5,141.70
  6. Step 6: Final answer
    x = 2,517.93

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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.