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Finding the Fourth Proportional to 12,813.15, 19,204.65 and 5,784.96

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Solution

The fourth proportional to 12,813.15, 19,204.65 and 5,784.96 is: 8,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,813.15 : 19,204.65 = 5,784.96 : x
  2. Step 2: Convert to fraction form
    12,813.15/19,204.65 = 5,784.96/x
  3. Step 3: Cross multiply
    12,813.15x = 19,204.65 × 5,784.96
  4. Step 4: Simplify right side
    12,813.15x = 111,098,132.06
  5. Step 5: Solve for x
    x = 111,098,132.06/12,813.15
  6. Step 6: Final answer
    x = 8,670.63

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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.