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Finding the Fourth Proportional to 7,084.95, 9,777.96 and 4,100.64

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Solution

The fourth proportional to 7,084.95, 9,777.96 and 4,100.64 is: 5,659.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.95 : 9,777.96 = 4,100.64 : x
  2. Step 2: Convert to fraction form
    7,084.95/9,777.96 = 4,100.64/x
  3. Step 3: Cross multiply
    7,084.95x = 9,777.96 × 4,100.64
  4. Step 4: Simplify right side
    7,084.95x = 40,095,893.89
  5. Step 5: Solve for x
    x = 40,095,893.89/7,084.95
  6. Step 6: Final answer
    x = 5,659.31

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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.