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Finding the Fourth Proportional to 5,696.12, 7,848.42 and 4,121.48

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Solution

The fourth proportional to 5,696.12, 7,848.42 and 4,121.48 is: 5,678.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.12 : 7,848.42 = 4,121.48 : x
  2. Step 2: Convert to fraction form
    5,696.12/7,848.42 = 4,121.48/x
  3. Step 3: Cross multiply
    5,696.12x = 7,848.42 × 4,121.48
  4. Step 4: Simplify right side
    5,696.12x = 32,347,106.06
  5. Step 5: Solve for x
    x = 32,347,106.06/5,696.12
  6. Step 6: Final answer
    x = 5,678.80

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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.