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Finding the Fourth Proportional to 3,152.79, 4,728.42 and 1,396.82

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Solution

The fourth proportional to 3,152.79, 4,728.42 and 1,396.82 is: 2,094.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.79 : 4,728.42 = 1,396.82 : x
  2. Step 2: Convert to fraction form
    3,152.79/4,728.42 = 1,396.82/x
  3. Step 3: Cross multiply
    3,152.79x = 4,728.42 × 1,396.82
  4. Step 4: Simplify right side
    3,152.79x = 6,604,743.09
  5. Step 5: Solve for x
    x = 6,604,743.09/3,152.79
  6. Step 6: Final answer
    x = 2,094.89

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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.