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Finding the Fourth Proportional to 6,448.98, 9,656.94 and 4,471.80

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Solution

The fourth proportional to 6,448.98, 9,656.94 and 4,471.80 is: 6,696.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.98 : 9,656.94 = 4,471.80 : x
  2. Step 2: Convert to fraction form
    6,448.98/9,656.94 = 4,471.80/x
  3. Step 3: Cross multiply
    6,448.98x = 9,656.94 × 4,471.80
  4. Step 4: Simplify right side
    6,448.98x = 43,183,904.29
  5. Step 5: Solve for x
    x = 43,183,904.29/6,448.98
  6. Step 6: Final answer
    x = 6,696.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.