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Finding the Fourth Proportional to 8,420.68, 11,620.72 and 4,643.96

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Solution

The fourth proportional to 8,420.68, 11,620.72 and 4,643.96 is: 6,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.68 : 11,620.72 = 4,643.96 : x
  2. Step 2: Convert to fraction form
    8,420.68/11,620.72 = 4,643.96/x
  3. Step 3: Cross multiply
    8,420.68x = 11,620.72 × 4,643.96
  4. Step 4: Simplify right side
    8,420.68x = 53,966,100.75
  5. Step 5: Solve for x
    x = 53,966,100.75/8,420.68
  6. Step 6: Final answer
    x = 6,408.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.