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Finding the Fourth Proportional to 2,300.20, 3,462.71 and 2,096.08

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Solution

The fourth proportional to 2,300.20, 3,462.71 and 2,096.08 is: 3,155.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.20 : 3,462.71 = 2,096.08 : x
  2. Step 2: Convert to fraction form
    2,300.20/3,462.71 = 2,096.08/x
  3. Step 3: Cross multiply
    2,300.20x = 3,462.71 × 2,096.08
  4. Step 4: Simplify right side
    2,300.20x = 7,258,117.18
  5. Step 5: Solve for x
    x = 7,258,117.18/2,300.20
  6. Step 6: Final answer
    x = 3,155.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.