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Finding the Fourth Proportional to 8,534.36, 12,800 and 3,607.46

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Solution

The fourth proportional to 8,534.36, 12,800 and 3,607.46 is: 5,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.36 : 12,800 = 3,607.46 : x
  2. Step 2: Convert to fraction form
    8,534.36/12,800 = 3,607.46/x
  3. Step 3: Cross multiply
    8,534.36x = 12,800 × 3,607.46
  4. Step 4: Simplify right side
    8,534.36x = 46,175,488
  5. Step 5: Solve for x
    x = 46,175,488/8,534.36
  6. Step 6: Final answer
    x = 5,410.54

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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.