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Finding the Fourth Proportional to 35,889.66, 49,530.42 and 20,786.40

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Solution

The fourth proportional to 35,889.66, 49,530.42 and 20,786.40 is: 28,686.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,889.66 : 49,530.42 = 20,786.40 : x
  2. Step 2: Convert to fraction form
    35,889.66/49,530.42 = 20,786.40/x
  3. Step 3: Cross multiply
    35,889.66x = 49,530.42 × 20,786.40
  4. Step 4: Simplify right side
    35,889.66x = 1,029,559,122.29
  5. Step 5: Solve for x
    x = 1,029,559,122.29/35,889.66
  6. Step 6: Final answer
    x = 28,686.79

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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.