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Finding the Fourth Proportional to 2,840.42, 4,260.36 and 991.55

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Solution

The fourth proportional to 2,840.42, 4,260.36 and 991.55 is: 1,487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840.42 : 4,260.36 = 991.55 : x
  2. Step 2: Convert to fraction form
    2,840.42/4,260.36 = 991.55/x
  3. Step 3: Cross multiply
    2,840.42x = 4,260.36 × 991.55
  4. Step 4: Simplify right side
    2,840.42x = 4,224,359.96
  5. Step 5: Solve for x
    x = 4,224,359.96/2,840.42
  6. Step 6: Final answer
    x = 1,487.23

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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.