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Finding the Fourth Proportional to 5,692.40, 8,516.14 and 4,309.76

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Solution

The fourth proportional to 5,692.40, 8,516.14 and 4,309.76 is: 6,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.40 : 8,516.14 = 4,309.76 : x
  2. Step 2: Convert to fraction form
    5,692.40/8,516.14 = 4,309.76/x
  3. Step 3: Cross multiply
    5,692.40x = 8,516.14 × 4,309.76
  4. Step 4: Simplify right side
    5,692.40x = 36,702,519.53
  5. Step 5: Solve for x
    x = 36,702,519.53/5,692.40
  6. Step 6: Final answer
    x = 6,447.64

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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.