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Finding the Fourth Proportional to 5,143.98, 7,715 and 2,508.84

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Solution

The fourth proportional to 5,143.98, 7,715 and 2,508.84 is: 3,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.98 : 7,715 = 2,508.84 : x
  2. Step 2: Convert to fraction form
    5,143.98/7,715 = 2,508.84/x
  3. Step 3: Cross multiply
    5,143.98x = 7,715 × 2,508.84
  4. Step 4: Simplify right side
    5,143.98x = 19,355,700.60
  5. Step 5: Solve for x
    x = 19,355,700.60/5,143.98
  6. Step 6: Final answer
    x = 3,762.79

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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.