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Finding the Fourth Proportional to 27,472, 41,207.20 and 12,681.12

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Solution

The fourth proportional to 27,472, 41,207.20 and 12,681.12 is: 19,021.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,472 : 41,207.20 = 12,681.12 : x
  2. Step 2: Convert to fraction form
    27,472/41,207.20 = 12,681.12/x
  3. Step 3: Cross multiply
    27,472x = 41,207.20 × 12,681.12
  4. Step 4: Simplify right side
    27,472x = 522,553,448.06
  5. Step 5: Solve for x
    x = 522,553,448.06/27,472
  6. Step 6: Final answer
    x = 19,021.31

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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.