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Finding the Fourth Proportional to 7,144.50, 9,863.74 and 4,664.82

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Solution

The fourth proportional to 7,144.50, 9,863.74 and 4,664.82 is: 6,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.50 : 9,863.74 = 4,664.82 : x
  2. Step 2: Convert to fraction form
    7,144.50/9,863.74 = 4,664.82/x
  3. Step 3: Cross multiply
    7,144.50x = 9,863.74 × 4,664.82
  4. Step 4: Simplify right side
    7,144.50x = 46,012,571.63
  5. Step 5: Solve for x
    x = 46,012,571.63/7,144.50
  6. Step 6: Final answer
    x = 6,440.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.