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Finding the Fourth Proportional to 2,885.73, 4,328.75 and 911.40

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Solution

The fourth proportional to 2,885.73, 4,328.75 and 911.40 is: 1,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.73 : 4,328.75 = 911.40 : x
  2. Step 2: Convert to fraction form
    2,885.73/4,328.75 = 911.40/x
  3. Step 3: Cross multiply
    2,885.73x = 4,328.75 × 911.40
  4. Step 4: Simplify right side
    2,885.73x = 3,945,222.75
  5. Step 5: Solve for x
    x = 3,945,222.75/2,885.73
  6. Step 6: Final answer
    x = 1,367.15

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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.