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Finding the Fourth Proportional to 3,838.29, 5,749.79 and 2,957.72

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Solution

The fourth proportional to 3,838.29, 5,749.79 and 2,957.72 is: 4,430.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.29 : 5,749.79 = 2,957.72 : x
  2. Step 2: Convert to fraction form
    3,838.29/5,749.79 = 2,957.72/x
  3. Step 3: Cross multiply
    3,838.29x = 5,749.79 × 2,957.72
  4. Step 4: Simplify right side
    3,838.29x = 17,006,225.34
  5. Step 5: Solve for x
    x = 17,006,225.34/3,838.29
  6. Step 6: Final answer
    x = 4,430.68

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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.