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Finding the Fourth Proportional to 1,721.80, 2,376.09 and 935.85

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Solution

The fourth proportional to 1,721.80, 2,376.09 and 935.85 is: 1,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.80 : 2,376.09 = 935.85 : x
  2. Step 2: Convert to fraction form
    1,721.80/2,376.09 = 935.85/x
  3. Step 3: Cross multiply
    1,721.80x = 2,376.09 × 935.85
  4. Step 4: Simplify right side
    1,721.80x = 2,223,647.27
  5. Step 5: Solve for x
    x = 2,223,647.27/1,721.80
  6. Step 6: Final answer
    x = 1,291.47

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1.5x scale

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.