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Finding the Fourth Proportional to 8,530.26, 12,696 and 8,448.18

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Solution

The fourth proportional to 8,530.26, 12,696 and 8,448.18 is: 12,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.26 : 12,696 = 8,448.18 : x
  2. Step 2: Convert to fraction form
    8,530.26/12,696 = 8,448.18/x
  3. Step 3: Cross multiply
    8,530.26x = 12,696 × 8,448.18
  4. Step 4: Simplify right side
    8,530.26x = 107,258,093.28
  5. Step 5: Solve for x
    x = 107,258,093.28/8,530.26
  6. Step 6: Final answer
    x = 12,573.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.