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Finding the Fourth Proportional to 8,583.64, 12,872.14 and 3,655.56

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Solution

The fourth proportional to 8,583.64, 12,872.14 and 3,655.56 is: 5,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.64 : 12,872.14 = 3,655.56 : x
  2. Step 2: Convert to fraction form
    8,583.64/12,872.14 = 3,655.56/x
  3. Step 3: Cross multiply
    8,583.64x = 12,872.14 × 3,655.56
  4. Step 4: Simplify right side
    8,583.64x = 47,054,880.10
  5. Step 5: Solve for x
    x = 47,054,880.10/8,583.64
  6. Step 6: Final answer
    x = 5,481.93

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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.