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Finding the Fourth Proportional to 7,999.64, 11,039.54 and 4,463

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Solution

The fourth proportional to 7,999.64, 11,039.54 and 4,463 is: 6,158.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,999.64 : 11,039.54 = 4,463 : x
  2. Step 2: Convert to fraction form
    7,999.64/11,039.54 = 4,463/x
  3. Step 3: Cross multiply
    7,999.64x = 11,039.54 × 4,463
  4. Step 4: Simplify right side
    7,999.64x = 49,269,467.02
  5. Step 5: Solve for x
    x = 49,269,467.02/7,999.64
  6. Step 6: Final answer
    x = 6,158.96

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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.