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Finding the Fourth Proportional to 3,492.84, 4,820.24 and 1,921.02

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Solution

The fourth proportional to 3,492.84, 4,820.24 and 1,921.02 is: 2,651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.84 : 4,820.24 = 1,921.02 : x
  2. Step 2: Convert to fraction form
    3,492.84/4,820.24 = 1,921.02/x
  3. Step 3: Cross multiply
    3,492.84x = 4,820.24 × 1,921.02
  4. Step 4: Simplify right side
    3,492.84x = 9,259,777.44
  5. Step 5: Solve for x
    x = 9,259,777.44/3,492.84
  6. Step 6: Final answer
    x = 2,651.07

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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.