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Finding the Fourth Proportional to 36,978.75, 55,468.13 and 12,354.75

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Solution

The fourth proportional to 36,978.75, 55,468.13 and 12,354.75 is: 18,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.75 : 55,468.13 = 12,354.75 : x
  2. Step 2: Convert to fraction form
    36,978.75/55,468.13 = 12,354.75/x
  3. Step 3: Cross multiply
    36,978.75x = 55,468.13 × 12,354.75
  4. Step 4: Simplify right side
    36,978.75x = 685,294,817.34
  5. Step 5: Solve for x
    x = 685,294,817.34/36,978.75
  6. Step 6: Final answer
    x = 18,532.13

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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.