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Finding the Fourth Proportional to 1,282.20, 1,924.20 and 821.10

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Solution

The fourth proportional to 1,282.20, 1,924.20 and 821.10 is: 1,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.20 : 1,924.20 = 821.10 : x
  2. Step 2: Convert to fraction form
    1,282.20/1,924.20 = 821.10/x
  3. Step 3: Cross multiply
    1,282.20x = 1,924.20 × 821.10
  4. Step 4: Simplify right side
    1,282.20x = 1,579,960.62
  5. Step 5: Solve for x
    x = 1,579,960.62/1,282.20
  6. Step 6: Final answer
    x = 1,232.23

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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.