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Finding the Fourth Proportional to 36,080, 54,120.81 and 12,387.50

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Solution

The fourth proportional to 36,080, 54,120.81 and 12,387.50 is: 18,581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,080 : 54,120.81 = 12,387.50 : x
  2. Step 2: Convert to fraction form
    36,080/54,120.81 = 12,387.50/x
  3. Step 3: Cross multiply
    36,080x = 54,120.81 × 12,387.50
  4. Step 4: Simplify right side
    36,080x = 670,421,533.88
  5. Step 5: Solve for x
    x = 670,421,533.88/36,080
  6. Step 6: Final answer
    x = 18,581.53

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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.