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Finding the Fourth Proportional to 3,390.54, 4,678.74 and 1,993.20

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Solution

The fourth proportional to 3,390.54, 4,678.74 and 1,993.20 is: 2,750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.54 : 4,678.74 = 1,993.20 : x
  2. Step 2: Convert to fraction form
    3,390.54/4,678.74 = 1,993.20/x
  3. Step 3: Cross multiply
    3,390.54x = 4,678.74 × 1,993.20
  4. Step 4: Simplify right side
    3,390.54x = 9,325,664.57
  5. Step 5: Solve for x
    x = 9,325,664.57/3,390.54
  6. Step 6: Final answer
    x = 2,750.50

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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.