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Finding the Fourth Proportional to 1,881.57, 2,819.98 and 957.36

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Solution

The fourth proportional to 1,881.57, 2,819.98 and 957.36 is: 1,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.57 : 2,819.98 = 957.36 : x
  2. Step 2: Convert to fraction form
    1,881.57/2,819.98 = 957.36/x
  3. Step 3: Cross multiply
    1,881.57x = 2,819.98 × 957.36
  4. Step 4: Simplify right side
    1,881.57x = 2,699,736.05
  5. Step 5: Solve for x
    x = 2,699,736.05/1,881.57
  6. Step 6: Final answer
    x = 1,434.83

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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.