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Finding the Fourth Proportional to 1,969.56, 2,951.58 and 1,556.88

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Solution

The fourth proportional to 1,969.56, 2,951.58 and 1,556.88 is: 2,333.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.56 : 2,951.58 = 1,556.88 : x
  2. Step 2: Convert to fraction form
    1,969.56/2,951.58 = 1,556.88/x
  3. Step 3: Cross multiply
    1,969.56x = 2,951.58 × 1,556.88
  4. Step 4: Simplify right side
    1,969.56x = 4,595,255.87
  5. Step 5: Solve for x
    x = 4,595,255.87/1,969.56
  6. Step 6: Final answer
    x = 2,333.14

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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.