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Finding the Fourth Proportional to 13,633.46, 18,812.50 and 7,891.90

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Solution

The fourth proportional to 13,633.46, 18,812.50 and 7,891.90 is: 10,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.46 : 18,812.50 = 7,891.90 : x
  2. Step 2: Convert to fraction form
    13,633.46/18,812.50 = 7,891.90/x
  3. Step 3: Cross multiply
    13,633.46x = 18,812.50 × 7,891.90
  4. Step 4: Simplify right side
    13,633.46x = 148,466,368.75
  5. Step 5: Solve for x
    x = 148,466,368.75/13,633.46
  6. Step 6: Final answer
    x = 10,889.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.