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Finding the Fourth Proportional to 3,423.81, 4,724.70 and 2,007.31

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Solution

The fourth proportional to 3,423.81, 4,724.70 and 2,007.31 is: 2,769.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.81 : 4,724.70 = 2,007.31 : x
  2. Step 2: Convert to fraction form
    3,423.81/4,724.70 = 2,007.31/x
  3. Step 3: Cross multiply
    3,423.81x = 4,724.70 × 2,007.31
  4. Step 4: Simplify right side
    3,423.81x = 9,483,927.52
  5. Step 5: Solve for x
    x = 9,483,927.52/3,423.81
  6. Step 6: Final answer
    x = 2,769.99

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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.