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Finding the Fourth Proportional to 26,161.32, 39,237.66 and 7,689

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Solution

The fourth proportional to 26,161.32, 39,237.66 and 7,689 is: 11,532.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,161.32 : 39,237.66 = 7,689 : x
  2. Step 2: Convert to fraction form
    26,161.32/39,237.66 = 7,689/x
  3. Step 3: Cross multiply
    26,161.32x = 39,237.66 × 7,689
  4. Step 4: Simplify right side
    26,161.32x = 301,698,367.74
  5. Step 5: Solve for x
    x = 301,698,367.74/26,161.32
  6. Step 6: Final answer
    x = 11,532.23

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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.