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Finding the Fourth Proportional to 8,381.84, 12,578.04 and 4,686.48

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Solution

The fourth proportional to 8,381.84, 12,578.04 and 4,686.48 is: 7,032.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.84 : 12,578.04 = 4,686.48 : x
  2. Step 2: Convert to fraction form
    8,381.84/12,578.04 = 4,686.48/x
  3. Step 3: Cross multiply
    8,381.84x = 12,578.04 × 4,686.48
  4. Step 4: Simplify right side
    8,381.84x = 58,946,732.90
  5. Step 5: Solve for x
    x = 58,946,732.90/8,381.84
  6. Step 6: Final answer
    x = 7,032.67

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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.