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Finding the Fourth Proportional to 1,995, 2,753.91 and 1,435.56

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Solution

The fourth proportional to 1,995, 2,753.91 and 1,435.56 is: 1,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,995 : 2,753.91 = 1,435.56 : x
  2. Step 2: Convert to fraction form
    1,995/2,753.91 = 1,435.56/x
  3. Step 3: Cross multiply
    1,995x = 2,753.91 × 1,435.56
  4. Step 4: Simplify right side
    1,995x = 3,953,403.04
  5. Step 5: Solve for x
    x = 3,953,403.04/1,995
  6. Step 6: Final answer
    x = 1,981.66

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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.