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Finding the Fourth Proportional to 37,978.20, 56,961.90 and 13,019.40

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Solution

The fourth proportional to 37,978.20, 56,961.90 and 13,019.40 is: 19,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.20 : 56,961.90 = 13,019.40 : x
  2. Step 2: Convert to fraction form
    37,978.20/56,961.90 = 13,019.40/x
  3. Step 3: Cross multiply
    37,978.20x = 56,961.90 × 13,019.40
  4. Step 4: Simplify right side
    37,978.20x = 741,609,760.86
  5. Step 5: Solve for x
    x = 741,609,760.86/37,978.20
  6. Step 6: Final answer
    x = 19,527.25

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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.