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Finding the Fourth Proportional to 7,180.66, 9,907.95 and 4,196.92

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Solution

The fourth proportional to 7,180.66, 9,907.95 and 4,196.92 is: 5,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.66 : 9,907.95 = 4,196.92 : x
  2. Step 2: Convert to fraction form
    7,180.66/9,907.95 = 4,196.92/x
  3. Step 3: Cross multiply
    7,180.66x = 9,907.95 × 4,196.92
  4. Step 4: Simplify right side
    7,180.66x = 41,582,873.51
  5. Step 5: Solve for x
    x = 41,582,873.51/7,180.66
  6. Step 6: Final answer
    x = 5,790.95

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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.