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Finding the Fourth Proportional to 12,805.59, 19,214.19 and 5,781.81

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Solution

The fourth proportional to 12,805.59, 19,214.19 and 5,781.81 is: 8,675.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,805.59 : 19,214.19 = 5,781.81 : x
  2. Step 2: Convert to fraction form
    12,805.59/19,214.19 = 5,781.81/x
  3. Step 3: Cross multiply
    12,805.59x = 19,214.19 × 5,781.81
  4. Step 4: Simplify right side
    12,805.59x = 111,092,795.88
  5. Step 5: Solve for x
    x = 111,092,795.88/12,805.59
  6. Step 6: Final answer
    x = 8,675.34

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1.5x scale

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.