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Finding the Fourth Proportional to 7,871, 11,806.50 and 2,399

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Solution

The fourth proportional to 7,871, 11,806.50 and 2,399 is: 3,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871 : 11,806.50 = 2,399 : x
  2. Step 2: Convert to fraction form
    7,871/11,806.50 = 2,399/x
  3. Step 3: Cross multiply
    7,871x = 11,806.50 × 2,399
  4. Step 4: Simplify right side
    7,871x = 28,323,793.50
  5. Step 5: Solve for x
    x = 28,323,793.50/7,871
  6. Step 6: Final answer
    x = 3,598.50

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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.