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Finding the Fourth Proportional to 2,469.78, 3,707.40 and 1,009.95

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Solution

The fourth proportional to 2,469.78, 3,707.40 and 1,009.95 is: 1,516.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,469.78 : 3,707.40 = 1,009.95 : x
  2. Step 2: Convert to fraction form
    2,469.78/3,707.40 = 1,009.95/x
  3. Step 3: Cross multiply
    2,469.78x = 3,707.40 × 1,009.95
  4. Step 4: Simplify right side
    2,469.78x = 3,744,288.63
  5. Step 5: Solve for x
    x = 3,744,288.63/2,469.78
  6. Step 6: Final answer
    x = 1,516.04

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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.