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Finding the Fourth Proportional to 8,902.47, 13,344.90 and 4,214.19

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Solution

The fourth proportional to 8,902.47, 13,344.90 and 4,214.19 is: 6,317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,902.47 : 13,344.90 = 4,214.19 : x
  2. Step 2: Convert to fraction form
    8,902.47/13,344.90 = 4,214.19/x
  3. Step 3: Cross multiply
    8,902.47x = 13,344.90 × 4,214.19
  4. Step 4: Simplify right side
    8,902.47x = 56,237,944.13
  5. Step 5: Solve for x
    x = 56,237,944.13/8,902.47
  6. Step 6: Final answer
    x = 6,317.12

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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.