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Finding the Fourth Proportional to 5,107.99, 7,049.72 and 2,870

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Solution

The fourth proportional to 5,107.99, 7,049.72 and 2,870 is: 3,960.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.99 : 7,049.72 = 2,870 : x
  2. Step 2: Convert to fraction form
    5,107.99/7,049.72 = 2,870/x
  3. Step 3: Cross multiply
    5,107.99x = 7,049.72 × 2,870
  4. Step 4: Simplify right side
    5,107.99x = 20,232,696.40
  5. Step 5: Solve for x
    x = 20,232,696.40/5,107.99
  6. Step 6: Final answer
    x = 3,960.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.