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Finding the Fourth Proportional to 1,747.84, 2,608.16 and 1,720.96

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Solution

The fourth proportional to 1,747.84, 2,608.16 and 1,720.96 is: 2,568.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,747.84 : 2,608.16 = 1,720.96 : x
  2. Step 2: Convert to fraction form
    1,747.84/2,608.16 = 1,720.96/x
  3. Step 3: Cross multiply
    1,747.84x = 2,608.16 × 1,720.96
  4. Step 4: Simplify right side
    1,747.84x = 4,488,539.03
  5. Step 5: Solve for x
    x = 4,488,539.03/1,747.84
  6. Step 6: Final answer
    x = 2,568.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.