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Finding the Fourth Proportional to 8,308.16, 12,460.64 and 3,112.64

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Solution

The fourth proportional to 8,308.16, 12,460.64 and 3,112.64 is: 4,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,308.16 : 12,460.64 = 3,112.64 : x
  2. Step 2: Convert to fraction form
    8,308.16/12,460.64 = 3,112.64/x
  3. Step 3: Cross multiply
    8,308.16x = 12,460.64 × 3,112.64
  4. Step 4: Simplify right side
    8,308.16x = 38,785,486.49
  5. Step 5: Solve for x
    x = 38,785,486.49/8,308.16
  6. Step 6: Final answer
    x = 4,668.36

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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.