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Finding the Fourth Proportional to 2,322.20, 3,483.45 and 783.20

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Solution

The fourth proportional to 2,322.20, 3,483.45 and 783.20 is: 1,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.20 : 3,483.45 = 783.20 : x
  2. Step 2: Convert to fraction form
    2,322.20/3,483.45 = 783.20/x
  3. Step 3: Cross multiply
    2,322.20x = 3,483.45 × 783.20
  4. Step 4: Simplify right side
    2,322.20x = 2,728,220.62
  5. Step 5: Solve for x
    x = 2,728,220.62/2,322.20
  6. Step 6: Final answer
    x = 1,174.85

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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.