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Finding the Fourth Proportional to 3,021.62, 4,532.56 and 830.06

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Solution

The fourth proportional to 3,021.62, 4,532.56 and 830.06 is: 1,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.62 : 4,532.56 = 830.06 : x
  2. Step 2: Convert to fraction form
    3,021.62/4,532.56 = 830.06/x
  3. Step 3: Cross multiply
    3,021.62x = 4,532.56 × 830.06
  4. Step 4: Simplify right side
    3,021.62x = 3,762,296.75
  5. Step 5: Solve for x
    x = 3,762,296.75/3,021.62
  6. Step 6: Final answer
    x = 1,245.13

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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.