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Finding the Fourth Proportional to 1,738.01, 2,397.75 and 991.82

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Solution

The fourth proportional to 1,738.01, 2,397.75 and 991.82 is: 1,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.01 : 2,397.75 = 991.82 : x
  2. Step 2: Convert to fraction form
    1,738.01/2,397.75 = 991.82/x
  3. Step 3: Cross multiply
    1,738.01x = 2,397.75 × 991.82
  4. Step 4: Simplify right side
    1,738.01x = 2,378,136.41
  5. Step 5: Solve for x
    x = 2,378,136.41/1,738.01
  6. Step 6: Final answer
    x = 1,368.31

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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.