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Finding the Fourth Proportional to 13,031.43, 19,547.17 and 5,238.42

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Solution

The fourth proportional to 13,031.43, 19,547.17 and 5,238.42 is: 7,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,031.43 : 19,547.17 = 5,238.42 : x
  2. Step 2: Convert to fraction form
    13,031.43/19,547.17 = 5,238.42/x
  3. Step 3: Cross multiply
    13,031.43x = 19,547.17 × 5,238.42
  4. Step 4: Simplify right side
    13,031.43x = 102,396,339.29
  5. Step 5: Solve for x
    x = 102,396,339.29/13,031.43
  6. Step 6: Final answer
    x = 7,857.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.