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Finding the Fourth Proportional to 31,978.14, 47,937.99 and 11,190.30

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Solution

The fourth proportional to 31,978.14, 47,937.99 and 11,190.30 is: 16,775.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,978.14 : 47,937.99 = 11,190.30 : x
  2. Step 2: Convert to fraction form
    31,978.14/47,937.99 = 11,190.30/x
  3. Step 3: Cross multiply
    31,978.14x = 47,937.99 × 11,190.30
  4. Step 4: Simplify right side
    31,978.14x = 536,440,489.50
  5. Step 5: Solve for x
    x = 536,440,489.50/31,978.14
  6. Step 6: Final answer
    x = 16,775.22

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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.