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Finding the Fourth Proportional to 5,720.63, 7,894.94 and 3,203.31

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Solution

The fourth proportional to 5,720.63, 7,894.94 and 3,203.31 is: 4,420.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.63 : 7,894.94 = 3,203.31 : x
  2. Step 2: Convert to fraction form
    5,720.63/7,894.94 = 3,203.31/x
  3. Step 3: Cross multiply
    5,720.63x = 7,894.94 × 3,203.31
  4. Step 4: Simplify right side
    5,720.63x = 25,289,953.84
  5. Step 5: Solve for x
    x = 25,289,953.84/5,720.63
  6. Step 6: Final answer
    x = 4,420.84

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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.