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Finding the Fourth Proportional to 3,184.92, 4,777.40 and 993.60

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Solution

The fourth proportional to 3,184.92, 4,777.40 and 993.60 is: 1,490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.92 : 4,777.40 = 993.60 : x
  2. Step 2: Convert to fraction form
    3,184.92/4,777.40 = 993.60/x
  3. Step 3: Cross multiply
    3,184.92x = 4,777.40 × 993.60
  4. Step 4: Simplify right side
    3,184.92x = 4,746,824.64
  5. Step 5: Solve for x
    x = 4,746,824.64/3,184.92
  6. Step 6: Final answer
    x = 1,490.41

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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.