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Finding the Fourth Proportional to 26,261, 39,391.50 and 7,793

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Solution

The fourth proportional to 26,261, 39,391.50 and 7,793 is: 11,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,261 : 39,391.50 = 7,793 : x
  2. Step 2: Convert to fraction form
    26,261/39,391.50 = 7,793/x
  3. Step 3: Cross multiply
    26,261x = 39,391.50 × 7,793
  4. Step 4: Simplify right side
    26,261x = 306,977,959.50
  5. Step 5: Solve for x
    x = 306,977,959.50/26,261
  6. Step 6: Final answer
    x = 11,689.50

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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.