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Finding the Fourth Proportional to 11,840, 17,760.32 and 3,632

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Solution

The fourth proportional to 11,840, 17,760.32 and 3,632 is: 5,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,840 : 17,760.32 = 3,632 : x
  2. Step 2: Convert to fraction form
    11,840/17,760.32 = 3,632/x
  3. Step 3: Cross multiply
    11,840x = 17,760.32 × 3,632
  4. Step 4: Simplify right side
    11,840x = 64,505,482.24
  5. Step 5: Solve for x
    x = 64,505,482.24/11,840
  6. Step 6: Final answer
    x = 5,448.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.