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Finding the Fourth Proportional to 3,300.84, 4,948.26 and 1,219.40

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Solution

The fourth proportional to 3,300.84, 4,948.26 and 1,219.40 is: 1,827.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,300.84 : 4,948.26 = 1,219.40 : x
  2. Step 2: Convert to fraction form
    3,300.84/4,948.26 = 1,219.40/x
  3. Step 3: Cross multiply
    3,300.84x = 4,948.26 × 1,219.40
  4. Step 4: Simplify right side
    3,300.84x = 6,033,908.24
  5. Step 5: Solve for x
    x = 6,033,908.24/3,300.84
  6. Step 6: Final answer
    x = 1,827.99

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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.