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Finding the Fourth Proportional to 3,019.84, 4,528.95 and 828.04

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Solution

The fourth proportional to 3,019.84, 4,528.95 and 828.04 is: 1,241.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.84 : 4,528.95 = 828.04 : x
  2. Step 2: Convert to fraction form
    3,019.84/4,528.95 = 828.04/x
  3. Step 3: Cross multiply
    3,019.84x = 4,528.95 × 828.04
  4. Step 4: Simplify right side
    3,019.84x = 3,750,151.76
  5. Step 5: Solve for x
    x = 3,750,151.76/3,019.84
  6. Step 6: Final answer
    x = 1,241.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.