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Finding the Fourth Proportional to 26,585.43, 39,878.13 and 7,864

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Solution

The fourth proportional to 26,585.43, 39,878.13 and 7,864 is: 11,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,585.43 : 39,878.13 = 7,864 : x
  2. Step 2: Convert to fraction form
    26,585.43/39,878.13 = 7,864/x
  3. Step 3: Cross multiply
    26,585.43x = 39,878.13 × 7,864
  4. Step 4: Simplify right side
    26,585.43x = 313,601,614.32
  5. Step 5: Solve for x
    x = 313,601,614.32/26,585.43
  6. Step 6: Final answer
    x = 11,796.00

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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.