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Finding the Fourth Proportional to 1,313.94, 1,970.90 and 1,081.89

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Solution

The fourth proportional to 1,313.94, 1,970.90 and 1,081.89 is: 1,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.94 : 1,970.90 = 1,081.89 : x
  2. Step 2: Convert to fraction form
    1,313.94/1,970.90 = 1,081.89/x
  3. Step 3: Cross multiply
    1,313.94x = 1,970.90 × 1,081.89
  4. Step 4: Simplify right side
    1,313.94x = 2,132,297.00
  5. Step 5: Solve for x
    x = 2,132,297.00/1,313.94
  6. Step 6: Final answer
    x = 1,622.83

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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.