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Finding the Fourth Proportional to 5,685.04, 7,842.63 and 3,696.22

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Solution

The fourth proportional to 5,685.04, 7,842.63 and 3,696.22 is: 5,099.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,685.04 : 7,842.63 = 3,696.22 : x
  2. Step 2: Convert to fraction form
    5,685.04/7,842.63 = 3,696.22/x
  3. Step 3: Cross multiply
    5,685.04x = 7,842.63 × 3,696.22
  4. Step 4: Simplify right side
    5,685.04x = 28,988,085.86
  5. Step 5: Solve for x
    x = 28,988,085.86/5,685.04
  6. Step 6: Final answer
    x = 5,099.01

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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.