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Finding the Fourth Proportional to 1,720.47, 2,372.88 and 1,189.55

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Solution

The fourth proportional to 1,720.47, 2,372.88 and 1,189.55 is: 1,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.47 : 2,372.88 = 1,189.55 : x
  2. Step 2: Convert to fraction form
    1,720.47/2,372.88 = 1,189.55/x
  3. Step 3: Cross multiply
    1,720.47x = 2,372.88 × 1,189.55
  4. Step 4: Simplify right side
    1,720.47x = 2,822,647.54
  5. Step 5: Solve for x
    x = 2,822,647.54/1,720.47
  6. Step 6: Final answer
    x = 1,640.63

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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.