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Finding the Fourth Proportional to 2,079.09, 3,117.60 and 846.27

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Solution

The fourth proportional to 2,079.09, 3,117.60 and 846.27 is: 1,268.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.09 : 3,117.60 = 846.27 : x
  2. Step 2: Convert to fraction form
    2,079.09/3,117.60 = 846.27/x
  3. Step 3: Cross multiply
    2,079.09x = 3,117.60 × 846.27
  4. Step 4: Simplify right side
    2,079.09x = 2,638,331.35
  5. Step 5: Solve for x
    x = 2,638,331.35/2,079.09
  6. Step 6: Final answer
    x = 1,268.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.