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Finding the Fourth Proportional to 8,388.64, 12,583.39 and 2,148.70

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Solution

The fourth proportional to 8,388.64, 12,583.39 and 2,148.70 is: 3,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.64 : 12,583.39 = 2,148.70 : x
  2. Step 2: Convert to fraction form
    8,388.64/12,583.39 = 2,148.70/x
  3. Step 3: Cross multiply
    8,388.64x = 12,583.39 × 2,148.70
  4. Step 4: Simplify right side
    8,388.64x = 27,037,930.09
  5. Step 5: Solve for x
    x = 27,037,930.09/8,388.64
  6. Step 6: Final answer
    x = 3,223.16

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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.