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Finding the Fourth Proportional to 5,692.78, 8,494.64 and 5,101.75

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Solution

The fourth proportional to 5,692.78, 8,494.64 and 5,101.75 is: 7,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.78 : 8,494.64 = 5,101.75 : x
  2. Step 2: Convert to fraction form
    5,692.78/8,494.64 = 5,101.75/x
  3. Step 3: Cross multiply
    5,692.78x = 8,494.64 × 5,101.75
  4. Step 4: Simplify right side
    5,692.78x = 43,337,529.62
  5. Step 5: Solve for x
    x = 43,337,529.62/5,692.78
  6. Step 6: Final answer
    x = 7,612.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.