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Finding the Fourth Proportional to 3,156.21, 4,733.94 and 966.45

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Solution

The fourth proportional to 3,156.21, 4,733.94 and 966.45 is: 1,449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.21 : 4,733.94 = 966.45 : x
  2. Step 2: Convert to fraction form
    3,156.21/4,733.94 = 966.45/x
  3. Step 3: Cross multiply
    3,156.21x = 4,733.94 × 966.45
  4. Step 4: Simplify right side
    3,156.21x = 4,575,116.31
  5. Step 5: Solve for x
    x = 4,575,116.31/3,156.21
  6. Step 6: Final answer
    x = 1,449.56

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1.5x scale

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.