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Finding the Fourth Proportional to 2,188.76, 3,020.44 and 1,304.54

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Solution

The fourth proportional to 2,188.76, 3,020.44 and 1,304.54 is: 1,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.76 : 3,020.44 = 1,304.54 : x
  2. Step 2: Convert to fraction form
    2,188.76/3,020.44 = 1,304.54/x
  3. Step 3: Cross multiply
    2,188.76x = 3,020.44 × 1,304.54
  4. Step 4: Simplify right side
    2,188.76x = 3,940,284.80
  5. Step 5: Solve for x
    x = 3,940,284.80/2,188.76
  6. Step 6: Final answer
    x = 1,800.24

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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.