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Finding the Fourth Proportional to 26,344.32, 39,513.60 and 7,872

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Solution

The fourth proportional to 26,344.32, 39,513.60 and 7,872 is: 11,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,344.32 : 39,513.60 = 7,872 : x
  2. Step 2: Convert to fraction form
    26,344.32/39,513.60 = 7,872/x
  3. Step 3: Cross multiply
    26,344.32x = 39,513.60 × 7,872
  4. Step 4: Simplify right side
    26,344.32x = 311,051,059.20
  5. Step 5: Solve for x
    x = 311,051,059.20/26,344.32
  6. Step 6: Final answer
    x = 11,807.14

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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.