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Finding the Fourth Proportional to 3,021.66, 4,531.74 and 830.28

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Solution

The fourth proportional to 3,021.66, 4,531.74 and 830.28 is: 1,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.66 : 4,531.74 = 830.28 : x
  2. Step 2: Convert to fraction form
    3,021.66/4,531.74 = 830.28/x
  3. Step 3: Cross multiply
    3,021.66x = 4,531.74 × 830.28
  4. Step 4: Simplify right side
    3,021.66x = 3,762,613.09
  5. Step 5: Solve for x
    x = 3,762,613.09/3,021.66
  6. Step 6: Final answer
    x = 1,245.21

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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.