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Finding the Fourth Proportional to 3,493.84, 4,821.48 and 1,921.84

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Solution

The fourth proportional to 3,493.84, 4,821.48 and 1,921.84 is: 2,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.84 : 4,821.48 = 1,921.84 : x
  2. Step 2: Convert to fraction form
    3,493.84/4,821.48 = 1,921.84/x
  3. Step 3: Cross multiply
    3,493.84x = 4,821.48 × 1,921.84
  4. Step 4: Simplify right side
    3,493.84x = 9,266,113.12
  5. Step 5: Solve for x
    x = 9,266,113.12/3,493.84
  6. Step 6: Final answer
    x = 2,652.13

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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.