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Finding the Fourth Proportional to 31,179.72, 46,772.70 and 8,993.64

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Solution

The fourth proportional to 31,179.72, 46,772.70 and 8,993.64 is: 13,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,179.72 : 46,772.70 = 8,993.64 : x
  2. Step 2: Convert to fraction form
    31,179.72/46,772.70 = 8,993.64/x
  3. Step 3: Cross multiply
    31,179.72x = 46,772.70 × 8,993.64
  4. Step 4: Simplify right side
    31,179.72x = 420,656,825.63
  5. Step 5: Solve for x
    x = 420,656,825.63/31,179.72
  6. Step 6: Final answer
    x = 13,491.36

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1.5x scale

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.