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Finding the Fourth Proportional to 37,978.40, 56,967.60 and 17,197.28

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Solution

The fourth proportional to 37,978.40, 56,967.60 and 17,197.28 is: 25,795.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.40 : 56,967.60 = 17,197.28 : x
  2. Step 2: Convert to fraction form
    37,978.40/56,967.60 = 17,197.28/x
  3. Step 3: Cross multiply
    37,978.40x = 56,967.60 × 17,197.28
  4. Step 4: Simplify right side
    37,978.40x = 979,687,768.13
  5. Step 5: Solve for x
    x = 979,687,768.13/37,978.40
  6. Step 6: Final answer
    x = 25,795.92

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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.