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Finding the Fourth Proportional to 2,245.38, 3,368.07 and 946.02

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Solution

The fourth proportional to 2,245.38, 3,368.07 and 946.02 is: 1,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.38 : 3,368.07 = 946.02 : x
  2. Step 2: Convert to fraction form
    2,245.38/3,368.07 = 946.02/x
  3. Step 3: Cross multiply
    2,245.38x = 3,368.07 × 946.02
  4. Step 4: Simplify right side
    2,245.38x = 3,186,261.58
  5. Step 5: Solve for x
    x = 3,186,261.58/2,245.38
  6. Step 6: Final answer
    x = 1,419.03

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Why These Related Problems?

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