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Finding the Fourth Proportional to 2,320.41, 3,202.13 and 1,258.15

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Solution

The fourth proportional to 2,320.41, 3,202.13 and 1,258.15 is: 1,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.41 : 3,202.13 = 1,258.15 : x
  2. Step 2: Convert to fraction form
    2,320.41/3,202.13 = 1,258.15/x
  3. Step 3: Cross multiply
    2,320.41x = 3,202.13 × 1,258.15
  4. Step 4: Simplify right side
    2,320.41x = 4,028,762.93
  5. Step 5: Solve for x
    x = 4,028,762.93/2,320.41
  6. Step 6: Final answer
    x = 1,736.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.