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Finding the Fourth Proportional to 2,219.30, 3,328.63 and 885.09

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Solution

The fourth proportional to 2,219.30, 3,328.63 and 885.09 is: 1,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,219.30 : 3,328.63 = 885.09 : x
  2. Step 2: Convert to fraction form
    2,219.30/3,328.63 = 885.09/x
  3. Step 3: Cross multiply
    2,219.30x = 3,328.63 × 885.09
  4. Step 4: Simplify right side
    2,219.30x = 2,946,132.70
  5. Step 5: Solve for x
    x = 2,946,132.70/2,219.30
  6. Step 6: Final answer
    x = 1,327.51

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Double scale
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1.5x scale

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.