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Finding the Fourth Proportional to 6,420.24, 9,629.67 and 4,353.51

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Solution

The fourth proportional to 6,420.24, 9,629.67 and 4,353.51 is: 6,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.24 : 9,629.67 = 4,353.51 : x
  2. Step 2: Convert to fraction form
    6,420.24/9,629.67 = 4,353.51/x
  3. Step 3: Cross multiply
    6,420.24x = 9,629.67 × 4,353.51
  4. Step 4: Simplify right side
    6,420.24x = 41,922,864.64
  5. Step 5: Solve for x
    x = 41,922,864.64/6,420.24
  6. Step 6: Final answer
    x = 6,529.80

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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.