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Finding the Fourth Proportional to 3,677.92, 5,075.60 and 2,021.92

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Solution

The fourth proportional to 3,677.92, 5,075.60 and 2,021.92 is: 2,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.92 : 5,075.60 = 2,021.92 : x
  2. Step 2: Convert to fraction form
    3,677.92/5,075.60 = 2,021.92/x
  3. Step 3: Cross multiply
    3,677.92x = 5,075.60 × 2,021.92
  4. Step 4: Simplify right side
    3,677.92x = 10,262,457.15
  5. Step 5: Solve for x
    x = 10,262,457.15/3,677.92
  6. Step 6: Final answer
    x = 2,790.29

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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.