Home / 2,114.61-3,170.19-1,419.16

Finding the Fourth Proportional to 2,114.61, 3,170.19 and 1,419.16

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Solution

The fourth proportional to 2,114.61, 3,170.19 and 1,419.16 is: 2,127.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.61 : 3,170.19 = 1,419.16 : x
  2. Step 2: Convert to fraction form
    2,114.61/3,170.19 = 1,419.16/x
  3. Step 3: Cross multiply
    2,114.61x = 3,170.19 × 1,419.16
  4. Step 4: Simplify right side
    2,114.61x = 4,498,990.99
  5. Step 5: Solve for x
    x = 4,498,990.99/2,114.61
  6. Step 6: Final answer
    x = 2,127.57

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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.