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Finding the Fourth Proportional to 1,350.41, 1,861.43 and 1,237.41

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Solution

The fourth proportional to 1,350.41, 1,861.43 and 1,237.41 is: 1,705.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.41 : 1,861.43 = 1,237.41 : x
  2. Step 2: Convert to fraction form
    1,350.41/1,861.43 = 1,237.41/x
  3. Step 3: Cross multiply
    1,350.41x = 1,861.43 × 1,237.41
  4. Step 4: Simplify right side
    1,350.41x = 2,303,345.91
  5. Step 5: Solve for x
    x = 2,303,345.91/1,350.41
  6. Step 6: Final answer
    x = 1,705.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.