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Finding the Fourth Proportional to 36,720, 55,078.56 and 10,424.16

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Solution

The fourth proportional to 36,720, 55,078.56 and 10,424.16 is: 15,635.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,720 : 55,078.56 = 10,424.16 : x
  2. Step 2: Convert to fraction form
    36,720/55,078.56 = 10,424.16/x
  3. Step 3: Cross multiply
    36,720x = 55,078.56 × 10,424.16
  4. Step 4: Simplify right side
    36,720x = 574,147,722.01
  5. Step 5: Solve for x
    x = 574,147,722.01/36,720
  6. Step 6: Final answer
    x = 15,635.83

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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.