Home / 1,646.86-2,471.10-1,163.02

Finding the Fourth Proportional to 1,646.86, 2,471.10 and 1,163.02

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Solution

The fourth proportional to 1,646.86, 2,471.10 and 1,163.02 is: 1,745.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.86 : 2,471.10 = 1,163.02 : x
  2. Step 2: Convert to fraction form
    1,646.86/2,471.10 = 1,163.02/x
  3. Step 3: Cross multiply
    1,646.86x = 2,471.10 × 1,163.02
  4. Step 4: Simplify right side
    1,646.86x = 2,873,938.72
  5. Step 5: Solve for x
    x = 2,873,938.72/1,646.86
  6. Step 6: Final answer
    x = 1,745.10

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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.