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Finding the Fourth Proportional to 27,881.60, 41,828.16 and 9,415.04

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Solution

The fourth proportional to 27,881.60, 41,828.16 and 9,415.04 is: 14,124.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,881.60 : 41,828.16 = 9,415.04 : x
  2. Step 2: Convert to fraction form
    27,881.60/41,828.16 = 9,415.04/x
  3. Step 3: Cross multiply
    27,881.60x = 41,828.16 × 9,415.04
  4. Step 4: Simplify right side
    27,881.60x = 393,813,799.53
  5. Step 5: Solve for x
    x = 393,813,799.53/27,881.60
  6. Step 6: Final answer
    x = 14,124.51

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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.