Home / 1,647.38-2,471.47-1,161.38

Finding the Fourth Proportional to 1,647.38, 2,471.47 and 1,161.38

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Solution

The fourth proportional to 1,647.38, 2,471.47 and 1,161.38 is: 1,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.38 : 2,471.47 = 1,161.38 : x
  2. Step 2: Convert to fraction form
    1,647.38/2,471.47 = 1,161.38/x
  3. Step 3: Cross multiply
    1,647.38x = 2,471.47 × 1,161.38
  4. Step 4: Simplify right side
    1,647.38x = 2,870,315.83
  5. Step 5: Solve for x
    x = 2,870,315.83/1,647.38
  6. Step 6: Final answer
    x = 1,742.35

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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.