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Finding the Fourth Proportional to 3,121.77, 4,682.21 and 1,041.77

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Solution

The fourth proportional to 3,121.77, 4,682.21 and 1,041.77 is: 1,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.77 : 4,682.21 = 1,041.77 : x
  2. Step 2: Convert to fraction form
    3,121.77/4,682.21 = 1,041.77/x
  3. Step 3: Cross multiply
    3,121.77x = 4,682.21 × 1,041.77
  4. Step 4: Simplify right side
    3,121.77x = 4,877,757.29
  5. Step 5: Solve for x
    x = 4,877,757.29/3,121.77
  6. Step 6: Final answer
    x = 1,562.50

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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.