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Finding the Fourth Proportional to 8,378.45, 12,553.16 and 5,084.64

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Solution

The fourth proportional to 8,378.45, 12,553.16 and 5,084.64 is: 7,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.45 : 12,553.16 = 5,084.64 : x
  2. Step 2: Convert to fraction form
    8,378.45/12,553.16 = 5,084.64/x
  3. Step 3: Cross multiply
    8,378.45x = 12,553.16 × 5,084.64
  4. Step 4: Simplify right side
    8,378.45x = 63,828,274.04
  5. Step 5: Solve for x
    x = 63,828,274.04/8,378.45
  6. Step 6: Final answer
    x = 7,618.15

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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.