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Finding the Fourth Proportional to 30,659.31, 45,969.22 and 12,901.48

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Solution

The fourth proportional to 30,659.31, 45,969.22 and 12,901.48 is: 19,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,659.31 : 45,969.22 = 12,901.48 : x
  2. Step 2: Convert to fraction form
    30,659.31/45,969.22 = 12,901.48/x
  3. Step 3: Cross multiply
    30,659.31x = 45,969.22 × 12,901.48
  4. Step 4: Simplify right side
    30,659.31x = 593,070,873.65
  5. Step 5: Solve for x
    x = 593,070,873.65/30,659.31
  6. Step 6: Final answer
    x = 19,343.91

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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.