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Finding the Fourth Proportional to 12,636.54, 17,439.03 and 7,046.46

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Solution

The fourth proportional to 12,636.54, 17,439.03 and 7,046.46 is: 9,724.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,636.54 : 17,439.03 = 7,046.46 : x
  2. Step 2: Convert to fraction form
    12,636.54/17,439.03 = 7,046.46/x
  3. Step 3: Cross multiply
    12,636.54x = 17,439.03 × 7,046.46
  4. Step 4: Simplify right side
    12,636.54x = 122,883,427.33
  5. Step 5: Solve for x
    x = 122,883,427.33/12,636.54
  6. Step 6: Final answer
    x = 9,724.45

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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.