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Finding the Fourth Proportional to 2,082.90, 3,124.74 and 622.06

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Solution

The fourth proportional to 2,082.90, 3,124.74 and 622.06 is: 933.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082.90 : 3,124.74 = 622.06 : x
  2. Step 2: Convert to fraction form
    2,082.90/3,124.74 = 622.06/x
  3. Step 3: Cross multiply
    2,082.90x = 3,124.74 × 622.06
  4. Step 4: Simplify right side
    2,082.90x = 1,943,775.76
  5. Step 5: Solve for x
    x = 1,943,775.76/2,082.90
  6. Step 6: Final answer
    x = 933.21

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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.