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Finding the Fourth Proportional to 8,410.40, 12,617.13 and 3,477.36

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Solution

The fourth proportional to 8,410.40, 12,617.13 and 3,477.36 is: 5,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,410.40 : 12,617.13 = 3,477.36 : x
  2. Step 2: Convert to fraction form
    8,410.40/12,617.13 = 3,477.36/x
  3. Step 3: Cross multiply
    8,410.40x = 12,617.13 × 3,477.36
  4. Step 4: Simplify right side
    8,410.40x = 43,874,303.18
  5. Step 5: Solve for x
    x = 43,874,303.18/8,410.40
  6. Step 6: Final answer
    x = 5,216.68

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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.