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Finding the Fourth Proportional to 12,906.37, 19,346.48 and 8,746.80

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Solution

The fourth proportional to 12,906.37, 19,346.48 and 8,746.80 is: 13,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.37 : 19,346.48 = 8,746.80 : x
  2. Step 2: Convert to fraction form
    12,906.37/19,346.48 = 8,746.80/x
  3. Step 3: Cross multiply
    12,906.37x = 19,346.48 × 8,746.80
  4. Step 4: Simplify right side
    12,906.37x = 169,219,791.26
  5. Step 5: Solve for x
    x = 169,219,791.26/12,906.37
  6. Step 6: Final answer
    x = 13,111.34

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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.