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Finding the Fourth Proportional to 5,457, 8,188.78 and 1,994.60

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Solution

The fourth proportional to 5,457, 8,188.78 and 1,994.60 is: 2,993.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457 : 8,188.78 = 1,994.60 : x
  2. Step 2: Convert to fraction form
    5,457/8,188.78 = 1,994.60/x
  3. Step 3: Cross multiply
    5,457x = 8,188.78 × 1,994.60
  4. Step 4: Simplify right side
    5,457x = 16,333,340.59
  5. Step 5: Solve for x
    x = 16,333,340.59/5,457
  6. Step 6: Final answer
    x = 2,993.10

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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.