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Finding the Fourth Proportional to 19,783.69, 29,678.46 and 5,741.90

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Solution

The fourth proportional to 19,783.69, 29,678.46 and 5,741.90 is: 8,613.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,783.69 : 29,678.46 = 5,741.90 : x
  2. Step 2: Convert to fraction form
    19,783.69/29,678.46 = 5,741.90/x
  3. Step 3: Cross multiply
    19,783.69x = 29,678.46 × 5,741.90
  4. Step 4: Simplify right side
    19,783.69x = 170,410,772.95
  5. Step 5: Solve for x
    x = 170,410,772.95/19,783.69
  6. Step 6: Final answer
    x = 8,613.70

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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.