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Finding the Fourth Proportional to 35,716.52, 49,288.40 and 20,609

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Solution

The fourth proportional to 35,716.52, 49,288.40 and 20,609 is: 28,440.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,716.52 : 49,288.40 = 20,609 : x
  2. Step 2: Convert to fraction form
    35,716.52/49,288.40 = 20,609/x
  3. Step 3: Cross multiply
    35,716.52x = 49,288.40 × 20,609
  4. Step 4: Simplify right side
    35,716.52x = 1,015,784,635.60
  5. Step 5: Solve for x
    x = 1,015,784,635.60/35,716.52
  6. Step 6: Final answer
    x = 28,440.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.