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Finding the Fourth Proportional to 7,171.86, 9,893.18 and 6,664.46

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Solution

The fourth proportional to 7,171.86, 9,893.18 and 6,664.46 is: 9,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.86 : 9,893.18 = 6,664.46 : x
  2. Step 2: Convert to fraction form
    7,171.86/9,893.18 = 6,664.46/x
  3. Step 3: Cross multiply
    7,171.86x = 9,893.18 × 6,664.46
  4. Step 4: Simplify right side
    7,171.86x = 65,932,669.58
  5. Step 5: Solve for x
    x = 65,932,669.58/7,171.86
  6. Step 6: Final answer
    x = 9,193.25

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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.