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Finding the Fourth Proportional to 2,974.22, 4,457.23 and 2,145.89

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Solution

The fourth proportional to 2,974.22, 4,457.23 and 2,145.89 is: 3,215.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.22 : 4,457.23 = 2,145.89 : x
  2. Step 2: Convert to fraction form
    2,974.22/4,457.23 = 2,145.89/x
  3. Step 3: Cross multiply
    2,974.22x = 4,457.23 × 2,145.89
  4. Step 4: Simplify right side
    2,974.22x = 9,564,731.06
  5. Step 5: Solve for x
    x = 9,564,731.06/2,974.22
  6. Step 6: Final answer
    x = 3,215.88

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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.