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Finding the Fourth Proportional to 3,565.67, 4,921.99 and 3,191.99

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Solution

The fourth proportional to 3,565.67, 4,921.99 and 3,191.99 is: 4,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.67 : 4,921.99 = 3,191.99 : x
  2. Step 2: Convert to fraction form
    3,565.67/4,921.99 = 3,191.99/x
  3. Step 3: Cross multiply
    3,565.67x = 4,921.99 × 3,191.99
  4. Step 4: Simplify right side
    3,565.67x = 15,710,942.86
  5. Step 5: Solve for x
    x = 15,710,942.86/3,565.67
  6. Step 6: Final answer
    x = 4,406.17

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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.