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Finding the Fourth Proportional to 25,601, 38,401.50 and 6,145

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Solution

The fourth proportional to 25,601, 38,401.50 and 6,145 is: 9,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,601 : 38,401.50 = 6,145 : x
  2. Step 2: Convert to fraction form
    25,601/38,401.50 = 6,145/x
  3. Step 3: Cross multiply
    25,601x = 38,401.50 × 6,145
  4. Step 4: Simplify right side
    25,601x = 235,977,217.50
  5. Step 5: Solve for x
    x = 235,977,217.50/25,601
  6. Step 6: Final answer
    x = 9,217.50

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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.