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Finding the Fourth Proportional to 2,840.53, 4,261.18 and 991.21

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Solution

The fourth proportional to 2,840.53, 4,261.18 and 991.21 is: 1,486.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.53 : 4,261.18 = 991.21 : x
  2. Step 2: Convert to fraction form
    2,840.53/4,261.18 = 991.21/x
  3. Step 3: Cross multiply
    2,840.53x = 4,261.18 × 991.21
  4. Step 4: Simplify right side
    2,840.53x = 4,223,735.72
  5. Step 5: Solve for x
    x = 4,223,735.72/2,840.53
  6. Step 6: Final answer
    x = 1,486.95

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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.