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Finding the Fourth Proportional to 2,245.62, 3,368.84 and 948

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Solution

The fourth proportional to 2,245.62, 3,368.84 and 948 is: 1,422.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.62 : 3,368.84 = 948 : x
  2. Step 2: Convert to fraction form
    2,245.62/3,368.84 = 948/x
  3. Step 3: Cross multiply
    2,245.62x = 3,368.84 × 948
  4. Step 4: Simplify right side
    2,245.62x = 3,193,660.32
  5. Step 5: Solve for x
    x = 3,193,660.32/2,245.62
  6. Step 6: Final answer
    x = 1,422.17

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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.