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Finding the Fourth Proportional to 3,497.56, 4,805.04 and 3,129.42

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Solution

The fourth proportional to 3,497.56, 4,805.04 and 3,129.42 is: 4,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.56 : 4,805.04 = 3,129.42 : x
  2. Step 2: Convert to fraction form
    3,497.56/4,805.04 = 3,129.42/x
  3. Step 3: Cross multiply
    3,497.56x = 4,805.04 × 3,129.42
  4. Step 4: Simplify right side
    3,497.56x = 15,036,988.28
  5. Step 5: Solve for x
    x = 15,036,988.28/3,497.56
  6. Step 6: Final answer
    x = 4,299.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.