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Finding the Fourth Proportional to 6,317.42, 8,715.60 and 3,664.31

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Solution

The fourth proportional to 6,317.42, 8,715.60 and 3,664.31 is: 5,055.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.42 : 8,715.60 = 3,664.31 : x
  2. Step 2: Convert to fraction form
    6,317.42/8,715.60 = 3,664.31/x
  3. Step 3: Cross multiply
    6,317.42x = 8,715.60 × 3,664.31
  4. Step 4: Simplify right side
    6,317.42x = 31,936,616.66
  5. Step 5: Solve for x
    x = 31,936,616.66/6,317.42
  6. Step 6: Final answer
    x = 5,055.33

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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.