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Finding the Fourth Proportional to 3,188.79, 4,783.19 and 997.70

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Solution

The fourth proportional to 3,188.79, 4,783.19 and 997.70 is: 1,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.79 : 4,783.19 = 997.70 : x
  2. Step 2: Convert to fraction form
    3,188.79/4,783.19 = 997.70/x
  3. Step 3: Cross multiply
    3,188.79x = 4,783.19 × 997.70
  4. Step 4: Simplify right side
    3,188.79x = 4,772,159.76
  5. Step 5: Solve for x
    x = 4,772,159.76/3,188.79
  6. Step 6: Final answer
    x = 1,496.54

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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.