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Finding the Fourth Proportional to 2,990.56, 4,486.56 and 938.56

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Solution

The fourth proportional to 2,990.56, 4,486.56 and 938.56 is: 1,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.56 : 4,486.56 = 938.56 : x
  2. Step 2: Convert to fraction form
    2,990.56/4,486.56 = 938.56/x
  3. Step 3: Cross multiply
    2,990.56x = 4,486.56 × 938.56
  4. Step 4: Simplify right side
    2,990.56x = 4,210,905.75
  5. Step 5: Solve for x
    x = 4,210,905.75/2,990.56
  6. Step 6: Final answer
    x = 1,408.07

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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.