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Finding the Fourth Proportional to 27,310, 40,971.50 and 8,842

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Solution

The fourth proportional to 27,310, 40,971.50 and 8,842 is: 13,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,310 : 40,971.50 = 8,842 : x
  2. Step 2: Convert to fraction form
    27,310/40,971.50 = 8,842/x
  3. Step 3: Cross multiply
    27,310x = 40,971.50 × 8,842
  4. Step 4: Simplify right side
    27,310x = 362,270,003
  5. Step 5: Solve for x
    x = 362,270,003/27,310
  6. Step 6: Final answer
    x = 13,265.10

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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.