Home / 1,647.13-2,471.10-1,161.13

Finding the Fourth Proportional to 1,647.13, 2,471.10 and 1,161.13

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Solution

The fourth proportional to 1,647.13, 2,471.10 and 1,161.13 is: 1,741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647.13 : 2,471.10 = 1,161.13 : x
  2. Step 2: Convert to fraction form
    1,647.13/2,471.10 = 1,161.13/x
  3. Step 3: Cross multiply
    1,647.13x = 2,471.10 × 1,161.13
  4. Step 4: Simplify right side
    1,647.13x = 2,869,268.34
  5. Step 5: Solve for x
    x = 2,869,268.34/1,647.13
  6. Step 6: Final answer
    x = 1,741.98

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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.