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Finding the Fourth Proportional to 6,950.16, 9,578.58 and 5,490.36

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Solution

The fourth proportional to 6,950.16, 9,578.58 and 5,490.36 is: 7,566.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.16 : 9,578.58 = 5,490.36 : x
  2. Step 2: Convert to fraction form
    6,950.16/9,578.58 = 5,490.36/x
  3. Step 3: Cross multiply
    6,950.16x = 9,578.58 × 5,490.36
  4. Step 4: Simplify right side
    6,950.16x = 52,589,852.49
  5. Step 5: Solve for x
    x = 52,589,852.49/6,950.16
  6. Step 6: Final answer
    x = 7,566.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.