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Finding the Fourth Proportional to 11,904.48, 17,804.16 and 7,211.52

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Solution

The fourth proportional to 11,904.48, 17,804.16 and 7,211.52 is: 10,785.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.48 : 17,804.16 = 7,211.52 : x
  2. Step 2: Convert to fraction form
    11,904.48/17,804.16 = 7,211.52/x
  3. Step 3: Cross multiply
    11,904.48x = 17,804.16 × 7,211.52
  4. Step 4: Simplify right side
    11,904.48x = 128,395,055.92
  5. Step 5: Solve for x
    x = 128,395,055.92/11,904.48
  6. Step 6: Final answer
    x = 10,785.44

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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.