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Finding the Fourth Proportional to 5,774.09, 8,662.34 and 1,878.19

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Solution

The fourth proportional to 5,774.09, 8,662.34 and 1,878.19 is: 2,817.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.09 : 8,662.34 = 1,878.19 : x
  2. Step 2: Convert to fraction form
    5,774.09/8,662.34 = 1,878.19/x
  3. Step 3: Cross multiply
    5,774.09x = 8,662.34 × 1,878.19
  4. Step 4: Simplify right side
    5,774.09x = 16,269,503.40
  5. Step 5: Solve for x
    x = 16,269,503.40/5,774.09
  6. Step 6: Final answer
    x = 2,817.68

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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.