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Finding the Fourth Proportional to 2,258.72, 3,389.55 and 1,219.46

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Solution

The fourth proportional to 2,258.72, 3,389.55 and 1,219.46 is: 1,829.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,258.72 : 3,389.55 = 1,219.46 : x
  2. Step 2: Convert to fraction form
    2,258.72/3,389.55 = 1,219.46/x
  3. Step 3: Cross multiply
    2,258.72x = 3,389.55 × 1,219.46
  4. Step 4: Simplify right side
    2,258.72x = 4,133,399.12
  5. Step 5: Solve for x
    x = 4,133,399.12/2,258.72
  6. Step 6: Final answer
    x = 1,829.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.