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Finding the Fourth Proportional to 7,164.36, 10,697.51 and 6,419.16

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Solution

The fourth proportional to 7,164.36, 10,697.51 and 6,419.16 is: 9,584.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.36 : 10,697.51 = 6,419.16 : x
  2. Step 2: Convert to fraction form
    7,164.36/10,697.51 = 6,419.16/x
  3. Step 3: Cross multiply
    7,164.36x = 10,697.51 × 6,419.16
  4. Step 4: Simplify right side
    7,164.36x = 68,668,996.20
  5. Step 5: Solve for x
    x = 68,668,996.20/7,164.36
  6. Step 6: Final answer
    x = 9,584.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.