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Finding the Fourth Proportional to 2,079.48, 3,119.22 and 846.06

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Solution

The fourth proportional to 2,079.48, 3,119.22 and 846.06 is: 1,269.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.48 : 3,119.22 = 846.06 : x
  2. Step 2: Convert to fraction form
    2,079.48/3,119.22 = 846.06/x
  3. Step 3: Cross multiply
    2,079.48x = 3,119.22 × 846.06
  4. Step 4: Simplify right side
    2,079.48x = 2,639,047.27
  5. Step 5: Solve for x
    x = 2,639,047.27/2,079.48
  6. Step 6: Final answer
    x = 1,269.09

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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.