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Finding the Fourth Proportional to 26,292, 39,438.27 and 7,824

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Solution

The fourth proportional to 26,292, 39,438.27 and 7,824 is: 11,736.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,292 : 39,438.27 = 7,824 : x
  2. Step 2: Convert to fraction form
    26,292/39,438.27 = 7,824/x
  3. Step 3: Cross multiply
    26,292x = 39,438.27 × 7,824
  4. Step 4: Simplify right side
    26,292x = 308,565,024.48
  5. Step 5: Solve for x
    x = 308,565,024.48/26,292
  6. Step 6: Final answer
    x = 11,736.08

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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.