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Finding the Fourth Proportional to 3,185.90, 4,778.03 and 993.50

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Solution

The fourth proportional to 3,185.90, 4,778.03 and 993.50 is: 1,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.90 : 4,778.03 = 993.50 : x
  2. Step 2: Convert to fraction form
    3,185.90/4,778.03 = 993.50/x
  3. Step 3: Cross multiply
    3,185.90x = 4,778.03 × 993.50
  4. Step 4: Simplify right side
    3,185.90x = 4,746,972.81
  5. Step 5: Solve for x
    x = 4,746,972.81/3,185.90
  6. Step 6: Final answer
    x = 1,489.99

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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.