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Finding the Fourth Proportional to 1,717.80, 2,372.00 and 1,277.66

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Solution

The fourth proportional to 1,717.80, 2,372.00 and 1,277.66 is: 1,764.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.80 : 2,372.00 = 1,277.66 : x
  2. Step 2: Convert to fraction form
    1,717.80/2,372.00 = 1,277.66/x
  3. Step 3: Cross multiply
    1,717.80x = 2,372.00 × 1,277.66
  4. Step 4: Simplify right side
    1,717.80x = 3,030,603.13
  5. Step 5: Solve for x
    x = 3,030,603.13/1,717.80
  6. Step 6: Final answer
    x = 1,764.24

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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.