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Finding the Fourth Proportional to 27,342, 41,018.40 and 9,813.12

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Solution

The fourth proportional to 27,342, 41,018.40 and 9,813.12 is: 14,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342 : 41,018.40 = 9,813.12 : x
  2. Step 2: Convert to fraction form
    27,342/41,018.40 = 9,813.12/x
  3. Step 3: Cross multiply
    27,342x = 41,018.40 × 9,813.12
  4. Step 4: Simplify right side
    27,342x = 402,518,481.41
  5. Step 5: Solve for x
    x = 402,518,481.41/27,342
  6. Step 6: Final answer
    x = 14,721.62

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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.