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Finding the Fourth Proportional to 19,793.68, 29,688 and 8,698.24

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Solution

The fourth proportional to 19,793.68, 29,688 and 8,698.24 is: 13,046.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,793.68 : 29,688 = 8,698.24 : x
  2. Step 2: Convert to fraction form
    19,793.68/29,688 = 8,698.24/x
  3. Step 3: Cross multiply
    19,793.68x = 29,688 × 8,698.24
  4. Step 4: Simplify right side
    19,793.68x = 258,233,349.12
  5. Step 5: Solve for x
    x = 258,233,349.12/19,793.68
  6. Step 6: Final answer
    x = 13,046.25

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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.