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Finding the Fourth Proportional to 3,188.61, 4,783.32 and 997.16

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Solution

The fourth proportional to 3,188.61, 4,783.32 and 997.16 is: 1,495.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.61 : 4,783.32 = 997.16 : x
  2. Step 2: Convert to fraction form
    3,188.61/4,783.32 = 997.16/x
  3. Step 3: Cross multiply
    3,188.61x = 4,783.32 × 997.16
  4. Step 4: Simplify right side
    3,188.61x = 4,769,711.45
  5. Step 5: Solve for x
    x = 4,769,711.45/3,188.61
  6. Step 6: Final answer
    x = 1,495.86

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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.