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Finding the Fourth Proportional to 37,319.21, 55,978.88 and 11,042.40

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Solution

The fourth proportional to 37,319.21, 55,978.88 and 11,042.40 is: 16,563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,319.21 : 55,978.88 = 11,042.40 : x
  2. Step 2: Convert to fraction form
    37,319.21/55,978.88 = 11,042.40/x
  3. Step 3: Cross multiply
    37,319.21x = 55,978.88 × 11,042.40
  4. Step 4: Simplify right side
    37,319.21x = 618,141,129.30
  5. Step 5: Solve for x
    x = 618,141,129.30/37,319.21
  6. Step 6: Final answer
    x = 16,563.62

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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.