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Finding the Fourth Proportional to 3,801.60, 5,698.80 and 1,203.12

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Solution

The fourth proportional to 3,801.60, 5,698.80 and 1,203.12 is: 1,803.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.60 : 5,698.80 = 1,203.12 : x
  2. Step 2: Convert to fraction form
    3,801.60/5,698.80 = 1,203.12/x
  3. Step 3: Cross multiply
    3,801.60x = 5,698.80 × 1,203.12
  4. Step 4: Simplify right side
    3,801.60x = 6,856,340.26
  5. Step 5: Solve for x
    x = 6,856,340.26/3,801.60
  6. Step 6: Final answer
    x = 1,803.54

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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.