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Finding the Fourth Proportional to 2,990.89, 4,486.56 and 911.07

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Solution

The fourth proportional to 2,990.89, 4,486.56 and 911.07 is: 1,366.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.89 : 4,486.56 = 911.07 : x
  2. Step 2: Convert to fraction form
    2,990.89/4,486.56 = 911.07/x
  3. Step 3: Cross multiply
    2,990.89x = 4,486.56 × 911.07
  4. Step 4: Simplify right side
    2,990.89x = 4,087,545.51
  5. Step 5: Solve for x
    x = 4,087,545.51/2,990.89
  6. Step 6: Final answer
    x = 1,366.67

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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.