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Finding the Fourth Proportional to 37,978.23, 56,950.95 and 13,020.72

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Solution

The fourth proportional to 37,978.23, 56,950.95 and 13,020.72 is: 19,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,978.23 : 56,950.95 = 13,020.72 : x
  2. Step 2: Convert to fraction form
    37,978.23/56,950.95 = 13,020.72/x
  3. Step 3: Cross multiply
    37,978.23x = 56,950.95 × 13,020.72
  4. Step 4: Simplify right side
    37,978.23x = 741,542,373.68
  5. Step 5: Solve for x
    x = 741,542,373.68/37,978.23
  6. Step 6: Final answer
    x = 19,525.46

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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.