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Finding the Fourth Proportional to 5,141.50, 7,713.61 and 2,951

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Solution

The fourth proportional to 5,141.50, 7,713.61 and 2,951 is: 4,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.50 : 7,713.61 = 2,951 : x
  2. Step 2: Convert to fraction form
    5,141.50/7,713.61 = 2,951/x
  3. Step 3: Cross multiply
    5,141.50x = 7,713.61 × 2,951
  4. Step 4: Simplify right side
    5,141.50x = 22,762,863.11
  5. Step 5: Solve for x
    x = 22,762,863.11/5,141.50
  6. Step 6: Final answer
    x = 4,427.28

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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.