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Finding the Fourth Proportional to 5,191.65, 7,784.96 and 2,417.67

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Solution

The fourth proportional to 5,191.65, 7,784.96 and 2,417.67 is: 3,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.65 : 7,784.96 = 2,417.67 : x
  2. Step 2: Convert to fraction form
    5,191.65/7,784.96 = 2,417.67/x
  3. Step 3: Cross multiply
    5,191.65x = 7,784.96 × 2,417.67
  4. Step 4: Simplify right side
    5,191.65x = 18,821,452.15
  5. Step 5: Solve for x
    x = 18,821,452.15/5,191.65
  6. Step 6: Final answer
    x = 3,625.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.