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Finding the Fourth Proportional to 5,720.50, 7,894.92 and 3,362.50

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Solution

The fourth proportional to 5,720.50, 7,894.92 and 3,362.50 is: 4,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.50 : 7,894.92 = 3,362.50 : x
  2. Step 2: Convert to fraction form
    5,720.50/7,894.92 = 3,362.50/x
  3. Step 3: Cross multiply
    5,720.50x = 7,894.92 × 3,362.50
  4. Step 4: Simplify right side
    5,720.50x = 26,546,668.50
  5. Step 5: Solve for x
    x = 26,546,668.50/5,720.50
  6. Step 6: Final answer
    x = 4,640.62

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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.