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Finding the Fourth Proportional to 13,759.46, 18,988.50 and 7,791

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Solution

The fourth proportional to 13,759.46, 18,988.50 and 7,791 is: 10,751.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.46 : 18,988.50 = 7,791 : x
  2. Step 2: Convert to fraction form
    13,759.46/18,988.50 = 7,791/x
  3. Step 3: Cross multiply
    13,759.46x = 18,988.50 × 7,791
  4. Step 4: Simplify right side
    13,759.46x = 147,939,403.50
  5. Step 5: Solve for x
    x = 147,939,403.50/13,759.46
  6. Step 6: Final answer
    x = 10,751.83

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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.