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Finding the Fourth Proportional to 1,720.36, 2,580.54 and 1,229.01

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Solution

The fourth proportional to 1,720.36, 2,580.54 and 1,229.01 is: 1,843.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.36 : 2,580.54 = 1,229.01 : x
  2. Step 2: Convert to fraction form
    1,720.36/2,580.54 = 1,229.01/x
  3. Step 3: Cross multiply
    1,720.36x = 2,580.54 × 1,229.01
  4. Step 4: Simplify right side
    1,720.36x = 3,171,509.47
  5. Step 5: Solve for x
    x = 3,171,509.47/1,720.36
  6. Step 6: Final answer
    x = 1,843.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.