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Finding the Fourth Proportional to 37,980.96, 56,978.64 and 15,782.28

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Solution

The fourth proportional to 37,980.96, 56,978.64 and 15,782.28 is: 23,676.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,980.96 : 56,978.64 = 15,782.28 : x
  2. Step 2: Convert to fraction form
    37,980.96/56,978.64 = 15,782.28/x
  3. Step 3: Cross multiply
    37,980.96x = 56,978.64 × 15,782.28
  4. Step 4: Simplify right side
    37,980.96x = 899,252,850.50
  5. Step 5: Solve for x
    x = 899,252,850.50/37,980.96
  6. Step 6: Final answer
    x = 23,676.41

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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.