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Finding the Fourth Proportional to 9,142.36, 13,674.48 and 7,632.20

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Solution

The fourth proportional to 9,142.36, 13,674.48 and 7,632.20 is: 11,415.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.36 : 13,674.48 = 7,632.20 : x
  2. Step 2: Convert to fraction form
    9,142.36/13,674.48 = 7,632.20/x
  3. Step 3: Cross multiply
    9,142.36x = 13,674.48 × 7,632.20
  4. Step 4: Simplify right side
    9,142.36x = 104,366,366.26
  5. Step 5: Solve for x
    x = 104,366,366.26/9,142.36
  6. Step 6: Final answer
    x = 11,415.69

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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.