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Finding the Fourth Proportional to 19,680.68, 29,513.34 and 8,729

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Solution

The fourth proportional to 19,680.68, 29,513.34 and 8,729 is: 13,090.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680.68 : 29,513.34 = 8,729 : x
  2. Step 2: Convert to fraction form
    19,680.68/29,513.34 = 8,729/x
  3. Step 3: Cross multiply
    19,680.68x = 29,513.34 × 8,729
  4. Step 4: Simplify right side
    19,680.68x = 257,621,944.86
  5. Step 5: Solve for x
    x = 257,621,944.86/19,680.68
  6. Step 6: Final answer
    x = 13,090.09

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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.