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Finding the Fourth Proportional to 2,905.74, 4,353.12 and 2,248.74

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Solution

The fourth proportional to 2,905.74, 4,353.12 and 2,248.74 is: 3,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.74 : 4,353.12 = 2,248.74 : x
  2. Step 2: Convert to fraction form
    2,905.74/4,353.12 = 2,248.74/x
  3. Step 3: Cross multiply
    2,905.74x = 4,353.12 × 2,248.74
  4. Step 4: Simplify right side
    2,905.74x = 9,789,035.07
  5. Step 5: Solve for x
    x = 9,789,035.07/2,905.74
  6. Step 6: Final answer
    x = 3,368.86

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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.