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Finding the Fourth Proportional to 37,978, 56,965.28 and 11,681.60

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Solution

The fourth proportional to 37,978, 56,965.28 and 11,681.60 is: 17,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978 : 56,965.28 = 11,681.60 : x
  2. Step 2: Convert to fraction form
    37,978/56,965.28 = 11,681.60/x
  3. Step 3: Cross multiply
    37,978x = 56,965.28 × 11,681.60
  4. Step 4: Simplify right side
    37,978x = 665,445,614.85
  5. Step 5: Solve for x
    x = 665,445,614.85/37,978
  6. Step 6: Final answer
    x = 17,521.87

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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.