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Finding the Fourth Proportional to 13,009, 19,517.10 and 4,243.72

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Solution

The fourth proportional to 13,009, 19,517.10 and 4,243.72 is: 6,366.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,009 : 19,517.10 = 4,243.72 : x
  2. Step 2: Convert to fraction form
    13,009/19,517.10 = 4,243.72/x
  3. Step 3: Cross multiply
    13,009x = 19,517.10 × 4,243.72
  4. Step 4: Simplify right side
    13,009x = 82,825,107.61
  5. Step 5: Solve for x
    x = 82,825,107.61/13,009
  6. Step 6: Final answer
    x = 6,366.75

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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.