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Finding the Fourth Proportional to 1,736.35, 2,396.16 and 990.31

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Solution

The fourth proportional to 1,736.35, 2,396.16 and 990.31 is: 1,366.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.35 : 2,396.16 = 990.31 : x
  2. Step 2: Convert to fraction form
    1,736.35/2,396.16 = 990.31/x
  3. Step 3: Cross multiply
    1,736.35x = 2,396.16 × 990.31
  4. Step 4: Simplify right side
    1,736.35x = 2,372,941.21
  5. Step 5: Solve for x
    x = 2,372,941.21/1,736.35
  6. Step 6: Final answer
    x = 1,366.63

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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.