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Finding the Fourth Proportional to 35,983.36, 49,644 and 20,867.68

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Solution

The fourth proportional to 35,983.36, 49,644 and 20,867.68 is: 28,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,983.36 : 49,644 = 20,867.68 : x
  2. Step 2: Convert to fraction form
    35,983.36/49,644 = 20,867.68/x
  3. Step 3: Cross multiply
    35,983.36x = 49,644 × 20,867.68
  4. Step 4: Simplify right side
    35,983.36x = 1,035,955,105.92
  5. Step 5: Solve for x
    x = 1,035,955,105.92/35,983.36
  6. Step 6: Final answer
    x = 28,789.84

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1.5x scale

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.