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Finding the Fourth Proportional to 13,863, 19,131.36 and 7,575.80

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Solution

The fourth proportional to 13,863, 19,131.36 and 7,575.80 is: 10,454.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,863 : 19,131.36 = 7,575.80 : x
  2. Step 2: Convert to fraction form
    13,863/19,131.36 = 7,575.80/x
  3. Step 3: Cross multiply
    13,863x = 19,131.36 × 7,575.80
  4. Step 4: Simplify right side
    13,863x = 144,935,357.09
  5. Step 5: Solve for x
    x = 144,935,357.09/13,863
  6. Step 6: Final answer
    x = 10,454.83

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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.