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Finding the Fourth Proportional to 3,021.47, 4,532.14 and 830.11

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Solution

The fourth proportional to 3,021.47, 4,532.14 and 830.11 is: 1,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,021.47 : 4,532.14 = 830.11 : x
  2. Step 2: Convert to fraction form
    3,021.47/4,532.14 = 830.11/x
  3. Step 3: Cross multiply
    3,021.47x = 4,532.14 × 830.11
  4. Step 4: Simplify right side
    3,021.47x = 3,762,174.74
  5. Step 5: Solve for x
    x = 3,762,174.74/3,021.47
  6. Step 6: Final answer
    x = 1,245.15

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Double scale
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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.