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Finding the Fourth Proportional to 3,821.65, 5,274.07 and 2,329.34

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Solution

The fourth proportional to 3,821.65, 5,274.07 and 2,329.34 is: 3,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821.65 : 5,274.07 = 2,329.34 : x
  2. Step 2: Convert to fraction form
    3,821.65/5,274.07 = 2,329.34/x
  3. Step 3: Cross multiply
    3,821.65x = 5,274.07 × 2,329.34
  4. Step 4: Simplify right side
    3,821.65x = 12,285,070.02
  5. Step 5: Solve for x
    x = 12,285,070.02/3,821.65
  6. Step 6: Final answer
    x = 3,214.60

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1.5x scale

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.