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Finding the Fourth Proportional to 13,053.68, 19,578 and 3,691.43

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Solution

The fourth proportional to 13,053.68, 19,578 and 3,691.43 is: 5,536.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,053.68 : 19,578 = 3,691.43 : x
  2. Step 2: Convert to fraction form
    13,053.68/19,578 = 3,691.43/x
  3. Step 3: Cross multiply
    13,053.68x = 19,578 × 3,691.43
  4. Step 4: Simplify right side
    13,053.68x = 72,270,718.65
  5. Step 5: Solve for x
    x = 72,270,718.65/13,053.68
  6. Step 6: Final answer
    x = 5,536.43

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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.