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Finding the Fourth Proportional to 3,169.50, 4,746.15 and 2,346.54

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Solution

The fourth proportional to 3,169.50, 4,746.15 and 2,346.54 is: 3,513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.50 : 4,746.15 = 2,346.54 : x
  2. Step 2: Convert to fraction form
    3,169.50/4,746.15 = 2,346.54/x
  3. Step 3: Cross multiply
    3,169.50x = 4,746.15 × 2,346.54
  4. Step 4: Simplify right side
    3,169.50x = 11,137,030.82
  5. Step 5: Solve for x
    x = 11,137,030.82/3,169.50
  6. Step 6: Final answer
    x = 3,513.81

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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.