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Finding the Fourth Proportional to 25,759, 38,638.50 and 7,291

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Solution

The fourth proportional to 25,759, 38,638.50 and 7,291 is: 10,936.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,759 : 38,638.50 = 7,291 : x
  2. Step 2: Convert to fraction form
    25,759/38,638.50 = 7,291/x
  3. Step 3: Cross multiply
    25,759x = 38,638.50 × 7,291
  4. Step 4: Simplify right side
    25,759x = 281,713,303.50
  5. Step 5: Solve for x
    x = 281,713,303.50/25,759
  6. Step 6: Final answer
    x = 10,936.50

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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.