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Finding the Fourth Proportional to 13,806.82, 19,053.53 and 7,519.20

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Solution

The fourth proportional to 13,806.82, 19,053.53 and 7,519.20 is: 10,376.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.82 : 19,053.53 = 7,519.20 : x
  2. Step 2: Convert to fraction form
    13,806.82/19,053.53 = 7,519.20/x
  3. Step 3: Cross multiply
    13,806.82x = 19,053.53 × 7,519.20
  4. Step 4: Simplify right side
    13,806.82x = 143,267,302.78
  5. Step 5: Solve for x
    x = 143,267,302.78/13,806.82
  6. Step 6: Final answer
    x = 10,376.56

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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.