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Finding the Fourth Proportional to 2,821.84, 3,894.53 and 2,349.05

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Solution

The fourth proportional to 2,821.84, 3,894.53 and 2,349.05 is: 3,242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.84 : 3,894.53 = 2,349.05 : x
  2. Step 2: Convert to fraction form
    2,821.84/3,894.53 = 2,349.05/x
  3. Step 3: Cross multiply
    2,821.84x = 3,894.53 × 2,349.05
  4. Step 4: Simplify right side
    2,821.84x = 9,148,449.60
  5. Step 5: Solve for x
    x = 9,148,449.60/2,821.84
  6. Step 6: Final answer
    x = 3,242.02

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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.