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Finding the Fourth Proportional to 7,257.86, 10,015.65 and 4,114.34

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Solution

The fourth proportional to 7,257.86, 10,015.65 and 4,114.34 is: 5,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.86 : 10,015.65 = 4,114.34 : x
  2. Step 2: Convert to fraction form
    7,257.86/10,015.65 = 4,114.34/x
  3. Step 3: Cross multiply
    7,257.86x = 10,015.65 × 4,114.34
  4. Step 4: Simplify right side
    7,257.86x = 41,207,789.42
  5. Step 5: Solve for x
    x = 41,207,789.42/7,257.86
  6. Step 6: Final answer
    x = 5,677.68

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