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Finding the Fourth Proportional to 12,661.70, 17,467.34 and 7,355.52

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Solution

The fourth proportional to 12,661.70, 17,467.34 and 7,355.52 is: 10,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.70 : 17,467.34 = 7,355.52 : x
  2. Step 2: Convert to fraction form
    12,661.70/17,467.34 = 7,355.52/x
  3. Step 3: Cross multiply
    12,661.70x = 17,467.34 × 7,355.52
  4. Step 4: Simplify right side
    12,661.70x = 128,481,331.94
  5. Step 5: Solve for x
    x = 128,481,331.94/12,661.70
  6. Step 6: Final answer
    x = 10,147.25

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1.5x scale

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.