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Finding the Fourth Proportional to 7,825, 11,737.50 and 2,353

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Solution

The fourth proportional to 7,825, 11,737.50 and 2,353 is: 3,529.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825 : 11,737.50 = 2,353 : x
  2. Step 2: Convert to fraction form
    7,825/11,737.50 = 2,353/x
  3. Step 3: Cross multiply
    7,825x = 11,737.50 × 2,353
  4. Step 4: Simplify right side
    7,825x = 27,618,337.50
  5. Step 5: Solve for x
    x = 27,618,337.50/7,825
  6. Step 6: Final answer
    x = 3,529.50

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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.