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Finding the Fourth Proportional to 1,321.36, 1,824.33 and 824.20

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Solution

The fourth proportional to 1,321.36, 1,824.33 and 824.20 is: 1,137.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.36 : 1,824.33 = 824.20 : x
  2. Step 2: Convert to fraction form
    1,321.36/1,824.33 = 824.20/x
  3. Step 3: Cross multiply
    1,321.36x = 1,824.33 × 824.20
  4. Step 4: Simplify right side
    1,321.36x = 1,503,612.79
  5. Step 5: Solve for x
    x = 1,503,612.79/1,321.36
  6. Step 6: Final answer
    x = 1,137.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.