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Finding the Fourth Proportional to 2,074.13, 3,111.19 and 706.13

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Solution

The fourth proportional to 2,074.13, 3,111.19 and 706.13 is: 1,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,074.13 : 3,111.19 = 706.13 : x
  2. Step 2: Convert to fraction form
    2,074.13/3,111.19 = 706.13/x
  3. Step 3: Cross multiply
    2,074.13x = 3,111.19 × 706.13
  4. Step 4: Simplify right side
    2,074.13x = 2,196,887.27
  5. Step 5: Solve for x
    x = 2,196,887.27/2,074.13
  6. Step 6: Final answer
    x = 1,059.19

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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.