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Finding the Fourth Proportional to 1,721.90, 2,376.10 and 935.94

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Solution

The fourth proportional to 1,721.90, 2,376.10 and 935.94 is: 1,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.90 : 2,376.10 = 935.94 : x
  2. Step 2: Convert to fraction form
    1,721.90/2,376.10 = 935.94/x
  3. Step 3: Cross multiply
    1,721.90x = 2,376.10 × 935.94
  4. Step 4: Simplify right side
    1,721.90x = 2,223,887.03
  5. Step 5: Solve for x
    x = 2,223,887.03/1,721.90
  6. Step 6: Final answer
    x = 1,291.53

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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.