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Finding the Fourth Proportional to 1,995.30, 2,754 and 1,436.94

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Solution

The fourth proportional to 1,995.30, 2,754 and 1,436.94 is: 1,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995.30 : 2,754 = 1,436.94 : x
  2. Step 2: Convert to fraction form
    1,995.30/2,754 = 1,436.94/x
  3. Step 3: Cross multiply
    1,995.30x = 2,754 × 1,436.94
  4. Step 4: Simplify right side
    1,995.30x = 3,957,332.76
  5. Step 5: Solve for x
    x = 3,957,332.76/1,995.30
  6. Step 6: Final answer
    x = 1,983.33

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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.