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Finding the Fourth Proportional to 5,692.10, 8,538.15 and 5,108.90

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Solution

The fourth proportional to 5,692.10, 8,538.15 and 5,108.90 is: 7,663.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.10 : 8,538.15 = 5,108.90 : x
  2. Step 2: Convert to fraction form
    5,692.10/8,538.15 = 5,108.90/x
  3. Step 3: Cross multiply
    5,692.10x = 8,538.15 × 5,108.90
  4. Step 4: Simplify right side
    5,692.10x = 43,620,554.54
  5. Step 5: Solve for x
    x = 43,620,554.54/5,692.10
  6. Step 6: Final answer
    x = 7,663.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.