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Finding the Fourth Proportional to 27,987.74, 41,969.76 and 8,261

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Solution

The fourth proportional to 27,987.74, 41,969.76 and 8,261 is: 12,388.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987.74 : 41,969.76 = 8,261 : x
  2. Step 2: Convert to fraction form
    27,987.74/41,969.76 = 8,261/x
  3. Step 3: Cross multiply
    27,987.74x = 41,969.76 × 8,261
  4. Step 4: Simplify right side
    27,987.74x = 346,712,187.36
  5. Step 5: Solve for x
    x = 346,712,187.36/27,987.74
  6. Step 6: Final answer
    x = 12,388.00

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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.