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Finding the Fourth Proportional to 37,978.91, 56,963.37 and 11,681.45

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Solution

The fourth proportional to 37,978.91, 56,963.37 and 11,681.45 is: 17,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.91 : 56,963.37 = 11,681.45 : x
  2. Step 2: Convert to fraction form
    37,978.91/56,963.37 = 11,681.45/x
  3. Step 3: Cross multiply
    37,978.91x = 56,963.37 × 11,681.45
  4. Step 4: Simplify right side
    37,978.91x = 665,414,758.49
  5. Step 5: Solve for x
    x = 665,414,758.49/37,978.91
  6. Step 6: Final answer
    x = 17,520.64

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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.