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Finding the Fourth Proportional to 27,867.60, 41,796.59 and 7,878.51

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Solution

The fourth proportional to 27,867.60, 41,796.59 and 7,878.51 is: 11,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,867.60 : 41,796.59 = 7,878.51 : x
  2. Step 2: Convert to fraction form
    27,867.60/41,796.59 = 7,878.51/x
  3. Step 3: Cross multiply
    27,867.60x = 41,796.59 × 7,878.51
  4. Step 4: Simplify right side
    27,867.60x = 329,294,812.89
  5. Step 5: Solve for x
    x = 329,294,812.89/27,867.60
  6. Step 6: Final answer
    x = 11,816.40

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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.