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Finding the Fourth Proportional to 13,890.18, 19,168.49 and 7,841.74

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Solution

The fourth proportional to 13,890.18, 19,168.49 and 7,841.74 is: 10,821.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,890.18 : 19,168.49 = 7,841.74 : x
  2. Step 2: Convert to fraction form
    13,890.18/19,168.49 = 7,841.74/x
  3. Step 3: Cross multiply
    13,890.18x = 19,168.49 × 7,841.74
  4. Step 4: Simplify right side
    13,890.18x = 150,314,213.35
  5. Step 5: Solve for x
    x = 150,314,213.35/13,890.18
  6. Step 6: Final answer
    x = 10,821.61

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1.5x scale

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.