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Finding the Fourth Proportional to 1,738.35, 2,398.31 and 991.77

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Solution

The fourth proportional to 1,738.35, 2,398.31 and 991.77 is: 1,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.35 : 2,398.31 = 991.77 : x
  2. Step 2: Convert to fraction form
    1,738.35/2,398.31 = 991.77/x
  3. Step 3: Cross multiply
    1,738.35x = 2,398.31 × 991.77
  4. Step 4: Simplify right side
    1,738.35x = 2,378,554.96
  5. Step 5: Solve for x
    x = 2,378,554.96/1,738.35
  6. Step 6: Final answer
    x = 1,368.29

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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.