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Finding the Fourth Proportional to 2,801.46, 3,865.70 and 1,622.30

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Solution

The fourth proportional to 2,801.46, 3,865.70 and 1,622.30 is: 2,238.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,801.46 : 3,865.70 = 1,622.30 : x
  2. Step 2: Convert to fraction form
    2,801.46/3,865.70 = 1,622.30/x
  3. Step 3: Cross multiply
    2,801.46x = 3,865.70 × 1,622.30
  4. Step 4: Simplify right side
    2,801.46x = 6,271,325.11
  5. Step 5: Solve for x
    x = 6,271,325.11/2,801.46
  6. Step 6: Final answer
    x = 2,238.59

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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.