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Finding the Fourth Proportional to 8,300.87, 12,445.32 and 3,914

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Solution

The fourth proportional to 8,300.87, 12,445.32 and 3,914 is: 5,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,300.87 : 12,445.32 = 3,914 : x
  2. Step 2: Convert to fraction form
    8,300.87/12,445.32 = 3,914/x
  3. Step 3: Cross multiply
    8,300.87x = 12,445.32 × 3,914
  4. Step 4: Simplify right side
    8,300.87x = 48,710,982.48
  5. Step 5: Solve for x
    x = 48,710,982.48/8,300.87
  6. Step 6: Final answer
    x = 5,868.18

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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.