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Finding the Fourth Proportional to 35,982.82, 53,974.57 and 13,790.91

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Solution

The fourth proportional to 35,982.82, 53,974.57 and 13,790.91 is: 20,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,982.82 : 53,974.57 = 13,790.91 : x
  2. Step 2: Convert to fraction form
    35,982.82/53,974.57 = 13,790.91/x
  3. Step 3: Cross multiply
    35,982.82x = 53,974.57 × 13,790.91
  4. Step 4: Simplify right side
    35,982.82x = 744,358,437.16
  5. Step 5: Solve for x
    x = 744,358,437.16/35,982.82
  6. Step 6: Final answer
    x = 20,686.50

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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.