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Finding the Fourth Proportional to 19,756.86, 29,631.24 and 8,657.43

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Solution

The fourth proportional to 19,756.86, 29,631.24 and 8,657.43 is: 12,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,756.86 : 29,631.24 = 8,657.43 : x
  2. Step 2: Convert to fraction form
    19,756.86/29,631.24 = 8,657.43/x
  3. Step 3: Cross multiply
    19,756.86x = 29,631.24 × 8,657.43
  4. Step 4: Simplify right side
    19,756.86x = 256,530,386.11
  5. Step 5: Solve for x
    x = 256,530,386.11/19,756.86
  6. Step 6: Final answer
    x = 12,984.37

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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.