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Finding the Fourth Proportional to 3,046.02, 4,571.04 and 1,402.50

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Solution

The fourth proportional to 3,046.02, 4,571.04 and 1,402.50 is: 2,104.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.02 : 4,571.04 = 1,402.50 : x
  2. Step 2: Convert to fraction form
    3,046.02/4,571.04 = 1,402.50/x
  3. Step 3: Cross multiply
    3,046.02x = 4,571.04 × 1,402.50
  4. Step 4: Simplify right side
    3,046.02x = 6,410,883.60
  5. Step 5: Solve for x
    x = 6,410,883.60/3,046.02
  6. Step 6: Final answer
    x = 2,104.68

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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.