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Finding the Fourth Proportional to 12,804.31, 17,659.70 and 8,824.51

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Solution

The fourth proportional to 12,804.31, 17,659.70 and 8,824.51 is: 12,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,804.31 : 17,659.70 = 8,824.51 : x
  2. Step 2: Convert to fraction form
    12,804.31/17,659.70 = 8,824.51/x
  3. Step 3: Cross multiply
    12,804.31x = 17,659.70 × 8,824.51
  4. Step 4: Simplify right side
    12,804.31x = 155,838,110.95
  5. Step 5: Solve for x
    x = 155,838,110.95/12,804.31
  6. Step 6: Final answer
    x = 12,170.76

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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.