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Finding the Fourth Proportional to 2,956.78, 4,434.27 and 1,225

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Solution

The fourth proportional to 2,956.78, 4,434.27 and 1,225 is: 1,837.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,956.78 : 4,434.27 = 1,225 : x
  2. Step 2: Convert to fraction form
    2,956.78/4,434.27 = 1,225/x
  3. Step 3: Cross multiply
    2,956.78x = 4,434.27 × 1,225
  4. Step 4: Simplify right side
    2,956.78x = 5,431,980.75
  5. Step 5: Solve for x
    x = 5,431,980.75/2,956.78
  6. Step 6: Final answer
    x = 1,837.13

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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.