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Finding the Fourth Proportional to 3,143.67, 4,715.00 and 1,063.64

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Solution

The fourth proportional to 3,143.67, 4,715.00 and 1,063.64 is: 1,595.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.67 : 4,715.00 = 1,063.64 : x
  2. Step 2: Convert to fraction form
    3,143.67/4,715.00 = 1,063.64/x
  3. Step 3: Cross multiply
    3,143.67x = 4,715.00 × 1,063.64
  4. Step 4: Simplify right side
    3,143.67x = 5,015,033.71
  5. Step 5: Solve for x
    x = 5,015,033.71/3,143.67
  6. Step 6: Final answer
    x = 1,595.28

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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.