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Finding the Fourth Proportional to 6,485.36, 9,730.20 and 2,102.96

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Solution

The fourth proportional to 6,485.36, 9,730.20 and 2,102.96 is: 3,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.36 : 9,730.20 = 2,102.96 : x
  2. Step 2: Convert to fraction form
    6,485.36/9,730.20 = 2,102.96/x
  3. Step 3: Cross multiply
    6,485.36x = 9,730.20 × 2,102.96
  4. Step 4: Simplify right side
    6,485.36x = 20,462,221.39
  5. Step 5: Solve for x
    x = 20,462,221.39/6,485.36
  6. Step 6: Final answer
    x = 3,155.14

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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.