Home / 13,743.84-20,640-10,234.80

Finding the Fourth Proportional to 13,743.84, 20,640 and 10,234.80

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Solution

The fourth proportional to 13,743.84, 20,640 and 10,234.80 is: 15,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,743.84 : 20,640 = 10,234.80 : x
  2. Step 2: Convert to fraction form
    13,743.84/20,640 = 10,234.80/x
  3. Step 3: Cross multiply
    13,743.84x = 20,640 × 10,234.80
  4. Step 4: Simplify right side
    13,743.84x = 211,246,272.00
  5. Step 5: Solve for x
    x = 211,246,272.00/13,743.84
  6. Step 6: Final answer
    x = 15,370.25

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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.