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Finding the Fourth Proportional to 2,281.56, 3,422.86 and 894.98

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Solution

The fourth proportional to 2,281.56, 3,422.86 and 894.98 is: 1,342.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.56 : 3,422.86 = 894.98 : x
  2. Step 2: Convert to fraction form
    2,281.56/3,422.86 = 894.98/x
  3. Step 3: Cross multiply
    2,281.56x = 3,422.86 × 894.98
  4. Step 4: Simplify right side
    2,281.56x = 3,063,391.24
  5. Step 5: Solve for x
    x = 3,063,391.24/2,281.56
  6. Step 6: Final answer
    x = 1,342.67

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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.