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Finding the Fourth Proportional to 27,918, 41,877 and 7,141.50

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Solution

The fourth proportional to 27,918, 41,877 and 7,141.50 is: 10,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,918 : 41,877 = 7,141.50 : x
  2. Step 2: Convert to fraction form
    27,918/41,877 = 7,141.50/x
  3. Step 3: Cross multiply
    27,918x = 41,877 × 7,141.50
  4. Step 4: Simplify right side
    27,918x = 299,064,595.50
  5. Step 5: Solve for x
    x = 299,064,595.50/27,918
  6. Step 6: Final answer
    x = 10,712.25

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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.