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Finding the Fourth Proportional to 26,615.64, 39,916.64 and 7,891.29

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Solution

The fourth proportional to 26,615.64, 39,916.64 and 7,891.29 is: 11,834.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,615.64 : 39,916.64 = 7,891.29 : x
  2. Step 2: Convert to fraction form
    26,615.64/39,916.64 = 7,891.29/x
  3. Step 3: Cross multiply
    26,615.64x = 39,916.64 × 7,891.29
  4. Step 4: Simplify right side
    26,615.64x = 314,993,782.07
  5. Step 5: Solve for x
    x = 314,993,782.07/26,615.64
  6. Step 6: Final answer
    x = 11,834.91

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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.