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Finding the Fourth Proportional to 3,048.96, 4,208.12 and 1,790.09

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Solution

The fourth proportional to 3,048.96, 4,208.12 and 1,790.09 is: 2,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,048.96 : 4,208.12 = 1,790.09 : x
  2. Step 2: Convert to fraction form
    3,048.96/4,208.12 = 1,790.09/x
  3. Step 3: Cross multiply
    3,048.96x = 4,208.12 × 1,790.09
  4. Step 4: Simplify right side
    3,048.96x = 7,532,913.53
  5. Step 5: Solve for x
    x = 7,532,913.53/3,048.96
  6. Step 6: Final answer
    x = 2,470.65

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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.