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Finding the Fourth Proportional to 26,425, 39,637.50 and 10,009

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Solution

The fourth proportional to 26,425, 39,637.50 and 10,009 is: 15,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,425 : 39,637.50 = 10,009 : x
  2. Step 2: Convert to fraction form
    26,425/39,637.50 = 10,009/x
  3. Step 3: Cross multiply
    26,425x = 39,637.50 × 10,009
  4. Step 4: Simplify right side
    26,425x = 396,731,737.50
  5. Step 5: Solve for x
    x = 396,731,737.50/26,425
  6. Step 6: Final answer
    x = 15,013.50

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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.