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Finding the Fourth Proportional to 6,448.98, 9,660.51 and 3,364.50

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Solution

The fourth proportional to 6,448.98, 9,660.51 and 3,364.50 is: 5,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.98 : 9,660.51 = 3,364.50 : x
  2. Step 2: Convert to fraction form
    6,448.98/9,660.51 = 3,364.50/x
  3. Step 3: Cross multiply
    6,448.98x = 9,660.51 × 3,364.50
  4. Step 4: Simplify right side
    6,448.98x = 32,502,785.90
  5. Step 5: Solve for x
    x = 32,502,785.90/6,448.98
  6. Step 6: Final answer
    x = 5,039.99

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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.