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Finding the Fourth Proportional to 36,982.50, 55,473.78 and 12,358.50

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Solution

The fourth proportional to 36,982.50, 55,473.78 and 12,358.50 is: 18,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,982.50 : 55,473.78 = 12,358.50 : x
  2. Step 2: Convert to fraction form
    36,982.50/55,473.78 = 12,358.50/x
  3. Step 3: Cross multiply
    36,982.50x = 55,473.78 × 12,358.50
  4. Step 4: Simplify right side
    36,982.50x = 685,572,710.13
  5. Step 5: Solve for x
    x = 685,572,710.13/36,982.50
  6. Step 6: Final answer
    x = 18,537.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.