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Finding the Fourth Proportional to 26,383.16, 39,574.42 and 7,915

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Solution

The fourth proportional to 26,383.16, 39,574.42 and 7,915 is: 11,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,383.16 : 39,574.42 = 7,915 : x
  2. Step 2: Convert to fraction form
    26,383.16/39,574.42 = 7,915/x
  3. Step 3: Cross multiply
    26,383.16x = 39,574.42 × 7,915
  4. Step 4: Simplify right side
    26,383.16x = 313,231,534.30
  5. Step 5: Solve for x
    x = 313,231,534.30/26,383.16
  6. Step 6: Final answer
    x = 11,872.40

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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.