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Finding the Fourth Proportional to 3,046, 4,569 and 1,747.48

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Solution

The fourth proportional to 3,046, 4,569 and 1,747.48 is: 2,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046 : 4,569 = 1,747.48 : x
  2. Step 2: Convert to fraction form
    3,046/4,569 = 1,747.48/x
  3. Step 3: Cross multiply
    3,046x = 4,569 × 1,747.48
  4. Step 4: Simplify right side
    3,046x = 7,984,236.12
  5. Step 5: Solve for x
    x = 7,984,236.12/3,046
  6. Step 6: Final answer
    x = 2,621.22

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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.