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Finding the Fourth Proportional to 3,102.70, 4,652.70 and 1,021.90

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Solution

The fourth proportional to 3,102.70, 4,652.70 and 1,021.90 is: 1,532.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.70 : 4,652.70 = 1,021.90 : x
  2. Step 2: Convert to fraction form
    3,102.70/4,652.70 = 1,021.90/x
  3. Step 3: Cross multiply
    3,102.70x = 4,652.70 × 1,021.90
  4. Step 4: Simplify right side
    3,102.70x = 4,754,594.13
  5. Step 5: Solve for x
    x = 4,754,594.13/3,102.70
  6. Step 6: Final answer
    x = 1,532.41

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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.