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Finding the Fourth Proportional to 7,143.87, 10,704 and 2,461.32

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Solution

The fourth proportional to 7,143.87, 10,704 and 2,461.32 is: 3,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.87 : 10,704 = 2,461.32 : x
  2. Step 2: Convert to fraction form
    7,143.87/10,704 = 2,461.32/x
  3. Step 3: Cross multiply
    7,143.87x = 10,704 × 2,461.32
  4. Step 4: Simplify right side
    7,143.87x = 26,345,969.28
  5. Step 5: Solve for x
    x = 26,345,969.28/7,143.87
  6. Step 6: Final answer
    x = 3,687.91

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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.