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Finding the Fourth Proportional to 5,458.69, 8,186.67 and 1,760.13

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Solution

The fourth proportional to 5,458.69, 8,186.67 and 1,760.13 is: 2,639.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.69 : 8,186.67 = 1,760.13 : x
  2. Step 2: Convert to fraction form
    5,458.69/8,186.67 = 1,760.13/x
  3. Step 3: Cross multiply
    5,458.69x = 8,186.67 × 1,760.13
  4. Step 4: Simplify right side
    5,458.69x = 14,409,603.47
  5. Step 5: Solve for x
    x = 14,409,603.47/5,458.69
  6. Step 6: Final answer
    x = 2,639.75

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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.