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Finding the Fourth Proportional to 2,095, 3,142.95 and 708.37

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Solution

The fourth proportional to 2,095, 3,142.95 and 708.37 is: 1,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095 : 3,142.95 = 708.37 : x
  2. Step 2: Convert to fraction form
    2,095/3,142.95 = 708.37/x
  3. Step 3: Cross multiply
    2,095x = 3,142.95 × 708.37
  4. Step 4: Simplify right side
    2,095x = 2,226,371.49
  5. Step 5: Solve for x
    x = 2,226,371.49/2,095
  6. Step 6: Final answer
    x = 1,062.71

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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.