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Finding the Fourth Proportional to 13,131, 19,685.45 and 6,107.45

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Solution

The fourth proportional to 13,131, 19,685.45 and 6,107.45 is: 9,156.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,131 : 19,685.45 = 6,107.45 : x
  2. Step 2: Convert to fraction form
    13,131/19,685.45 = 6,107.45/x
  3. Step 3: Cross multiply
    13,131x = 19,685.45 × 6,107.45
  4. Step 4: Simplify right side
    13,131x = 120,227,818.44
  5. Step 5: Solve for x
    x = 120,227,818.44/13,131
  6. Step 6: Final answer
    x = 9,156.03

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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.