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Finding the Fourth Proportional to 27,110, 40,665 and 8,642

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Solution

The fourth proportional to 27,110, 40,665 and 8,642 is: 12,963

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110 : 40,665 = 8,642 : x
  2. Step 2: Convert to fraction form
    27,110/40,665 = 8,642/x
  3. Step 3: Cross multiply
    27,110x = 40,665 × 8,642
  4. Step 4: Simplify right side
    27,110x = 351,426,930
  5. Step 5: Solve for x
    x = 351,426,930/27,110
  6. Step 6: Final answer
    x = 12,963

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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.