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Finding the Fourth Proportional to 12,810, 19,217.30 and 5,793.31

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Solution

The fourth proportional to 12,810, 19,217.30 and 5,793.31 is: 8,691.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810 : 19,217.30 = 5,793.31 : x
  2. Step 2: Convert to fraction form
    12,810/19,217.30 = 5,793.31/x
  3. Step 3: Cross multiply
    12,810x = 19,217.30 × 5,793.31
  4. Step 4: Simplify right side
    12,810x = 111,331,776.26
  5. Step 5: Solve for x
    x = 111,331,776.26/12,810
  6. Step 6: Final answer
    x = 8,691.01

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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.