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Finding the Fourth Proportional to 3,185.28, 4,777.88 and 993.69

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Solution

The fourth proportional to 3,185.28, 4,777.88 and 993.69 is: 1,490.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.28 : 4,777.88 = 993.69 : x
  2. Step 2: Convert to fraction form
    3,185.28/4,777.88 = 993.69/x
  3. Step 3: Cross multiply
    3,185.28x = 4,777.88 × 993.69
  4. Step 4: Simplify right side
    3,185.28x = 4,747,726.61
  5. Step 5: Solve for x
    x = 4,747,726.61/3,185.28
  6. Step 6: Final answer
    x = 1,490.52

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Double scale
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Similar ratio
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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.