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Finding the Fourth Proportional to 12,354.21, 17,047.53 and 7,048

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Solution

The fourth proportional to 12,354.21, 17,047.53 and 7,048 is: 9,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,354.21 : 17,047.53 = 7,048 : x
  2. Step 2: Convert to fraction form
    12,354.21/17,047.53 = 7,048/x
  3. Step 3: Cross multiply
    12,354.21x = 17,047.53 × 7,048
  4. Step 4: Simplify right side
    12,354.21x = 120,150,991.44
  5. Step 5: Solve for x
    x = 120,150,991.44/12,354.21
  6. Step 6: Final answer
    x = 9,725.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.