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Finding the Fourth Proportional to 11,865.21, 17,804.16 and 7,704.24

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Solution

The fourth proportional to 11,865.21, 17,804.16 and 7,704.24 is: 11,560.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.21 : 17,804.16 = 7,704.24 : x
  2. Step 2: Convert to fraction form
    11,865.21/17,804.16 = 7,704.24/x
  3. Step 3: Cross multiply
    11,865.21x = 17,804.16 × 7,704.24
  4. Step 4: Simplify right side
    11,865.21x = 137,167,521.64
  5. Step 5: Solve for x
    x = 137,167,521.64/11,865.21
  6. Step 6: Final answer
    x = 11,560.48

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1.5x scale

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.