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Finding the Fourth Proportional to 1,745.43, 2,407.11 and 1,560.90

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Solution

The fourth proportional to 1,745.43, 2,407.11 and 1,560.90 is: 2,152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.43 : 2,407.11 = 1,560.90 : x
  2. Step 2: Convert to fraction form
    1,745.43/2,407.11 = 1,560.90/x
  3. Step 3: Cross multiply
    1,745.43x = 2,407.11 × 1,560.90
  4. Step 4: Simplify right side
    1,745.43x = 3,757,258.00
  5. Step 5: Solve for x
    x = 3,757,258.00/1,745.43
  6. Step 6: Final answer
    x = 2,152.63

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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.