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Finding the Fourth Proportional to 5,629.43, 7,768.88 and 3,392.00

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Solution

The fourth proportional to 5,629.43, 7,768.88 and 3,392.00 is: 4,681.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,629.43 : 7,768.88 = 3,392.00 : x
  2. Step 2: Convert to fraction form
    5,629.43/7,768.88 = 3,392.00/x
  3. Step 3: Cross multiply
    5,629.43x = 7,768.88 × 3,392.00
  4. Step 4: Simplify right side
    5,629.43x = 26,351,985.16
  5. Step 5: Solve for x
    x = 26,351,985.16/5,629.43
  6. Step 6: Final answer
    x = 4,681.11

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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.