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Finding the Fourth Proportional to 1,965.48, 2,712.37 and 1,493.79

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Solution

The fourth proportional to 1,965.48, 2,712.37 and 1,493.79 is: 2,061.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,965.48 : 2,712.37 = 1,493.79 : x
  2. Step 2: Convert to fraction form
    1,965.48/2,712.37 = 1,493.79/x
  3. Step 3: Cross multiply
    1,965.48x = 2,712.37 × 1,493.79
  4. Step 4: Simplify right side
    1,965.48x = 4,051,707.45
  5. Step 5: Solve for x
    x = 4,051,707.45/1,965.48
  6. Step 6: Final answer
    x = 2,061.43

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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.