Home / 2,102.22-3,153.29-947.97

Finding the Fourth Proportional to 2,102.22, 3,153.29 and 947.97

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Solution

The fourth proportional to 2,102.22, 3,153.29 and 947.97 is: 1,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.22 : 3,153.29 = 947.97 : x
  2. Step 2: Convert to fraction form
    2,102.22/3,153.29 = 947.97/x
  3. Step 3: Cross multiply
    2,102.22x = 3,153.29 × 947.97
  4. Step 4: Simplify right side
    2,102.22x = 2,989,219.58
  5. Step 5: Solve for x
    x = 2,989,219.58/2,102.22
  6. Step 6: Final answer
    x = 1,421.93

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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.