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Finding the Fourth Proportional to 8,356.16, 12,535.36 and 2,512

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Solution

The fourth proportional to 8,356.16, 12,535.36 and 2,512 is: 3,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.16 : 12,535.36 = 2,512 : x
  2. Step 2: Convert to fraction form
    8,356.16/12,535.36 = 2,512/x
  3. Step 3: Cross multiply
    8,356.16x = 12,535.36 × 2,512
  4. Step 4: Simplify right side
    8,356.16x = 31,488,824.32
  5. Step 5: Solve for x
    x = 31,488,824.32/8,356.16
  6. Step 6: Final answer
    x = 3,768.34

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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.