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Finding the Fourth Proportional to 1,556.33, 2,147.65 and 966.85

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Solution

The fourth proportional to 1,556.33, 2,147.65 and 966.85 is: 1,334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.33 : 2,147.65 = 966.85 : x
  2. Step 2: Convert to fraction form
    1,556.33/2,147.65 = 966.85/x
  3. Step 3: Cross multiply
    1,556.33x = 2,147.65 × 966.85
  4. Step 4: Simplify right side
    1,556.33x = 2,076,455.40
  5. Step 5: Solve for x
    x = 2,076,455.40/1,556.33
  6. Step 6: Final answer
    x = 1,334.20

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