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Finding the Fourth Proportional to 1,734.62, 2,393.38 and 988.30

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Solution

The fourth proportional to 1,734.62, 2,393.38 and 988.30 is: 1,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.62 : 2,393.38 = 988.30 : x
  2. Step 2: Convert to fraction form
    1,734.62/2,393.38 = 988.30/x
  3. Step 3: Cross multiply
    1,734.62x = 2,393.38 × 988.30
  4. Step 4: Simplify right side
    1,734.62x = 2,365,381.68
  5. Step 5: Solve for x
    x = 2,365,381.68/1,734.62
  6. Step 6: Final answer
    x = 1,363.63

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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.