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Finding the Fourth Proportional to 12,546, 17,346.24 and 11,995.20

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Solution

The fourth proportional to 12,546, 17,346.24 and 11,995.20 is: 16,584.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,546 : 17,346.24 = 11,995.20 : x
  2. Step 2: Convert to fraction form
    12,546/17,346.24 = 11,995.20/x
  3. Step 3: Cross multiply
    12,546x = 17,346.24 × 11,995.20
  4. Step 4: Simplify right side
    12,546x = 208,071,618.05
  5. Step 5: Solve for x
    x = 208,071,618.05/12,546
  6. Step 6: Final answer
    x = 16,584.70

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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.