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Finding the Fourth Proportional to 19,876.17, 29,786.31 and 15,697.83

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Solution

The fourth proportional to 19,876.17, 29,786.31 and 15,697.83 is: 23,524.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,876.17 : 29,786.31 = 15,697.83 : x
  2. Step 2: Convert to fraction form
    19,876.17/29,786.31 = 15,697.83/x
  3. Step 3: Cross multiply
    19,876.17x = 29,786.31 × 15,697.83
  4. Step 4: Simplify right side
    19,876.17x = 467,580,430.71
  5. Step 5: Solve for x
    x = 467,580,430.71/19,876.17
  6. Step 6: Final answer
    x = 23,524.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.