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Finding the Fourth Proportional to 26,403, 39,604.50 and 7,935

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Solution

The fourth proportional to 26,403, 39,604.50 and 7,935 is: 11,902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,403 : 39,604.50 = 7,935 : x
  2. Step 2: Convert to fraction form
    26,403/39,604.50 = 7,935/x
  3. Step 3: Cross multiply
    26,403x = 39,604.50 × 7,935
  4. Step 4: Simplify right side
    26,403x = 314,261,707.50
  5. Step 5: Solve for x
    x = 314,261,707.50/26,403
  6. Step 6: Final answer
    x = 11,902.50

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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.