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Finding the Fourth Proportional to 1,225.72, 1,837.38 and 938.36

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Solution

The fourth proportional to 1,225.72, 1,837.38 and 938.36 is: 1,406.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.72 : 1,837.38 = 938.36 : x
  2. Step 2: Convert to fraction form
    1,225.72/1,837.38 = 938.36/x
  3. Step 3: Cross multiply
    1,225.72x = 1,837.38 × 938.36
  4. Step 4: Simplify right side
    1,225.72x = 1,724,123.90
  5. Step 5: Solve for x
    x = 1,724,123.90/1,225.72
  6. Step 6: Final answer
    x = 1,406.62

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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.