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Finding the Fourth Proportional to 36,938.30, 55,416.11 and 11,978.33

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Solution

The fourth proportional to 36,938.30, 55,416.11 and 11,978.33 is: 17,970.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,938.30 : 55,416.11 = 11,978.33 : x
  2. Step 2: Convert to fraction form
    36,938.30/55,416.11 = 11,978.33/x
  3. Step 3: Cross multiply
    36,938.30x = 55,416.11 × 11,978.33
  4. Step 4: Simplify right side
    36,938.30x = 663,792,115.92
  5. Step 5: Solve for x
    x = 663,792,115.92/36,938.30
  6. Step 6: Final answer
    x = 17,970.30

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1.5x scale

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.