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Finding the Fourth Proportional to 2,968.56, 4,451.36 and 993.50

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Solution

The fourth proportional to 2,968.56, 4,451.36 and 993.50 is: 1,489.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.56 : 4,451.36 = 993.50 : x
  2. Step 2: Convert to fraction form
    2,968.56/4,451.36 = 993.50/x
  3. Step 3: Cross multiply
    2,968.56x = 4,451.36 × 993.50
  4. Step 4: Simplify right side
    2,968.56x = 4,422,426.16
  5. Step 5: Solve for x
    x = 4,422,426.16/2,968.56
  6. Step 6: Final answer
    x = 1,489.75

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Double scale
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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.