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Finding the Fourth Proportional to 31,449, 43,405.84 and 18,029.28

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Solution

The fourth proportional to 31,449, 43,405.84 and 18,029.28 is: 24,883.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,449 : 43,405.84 = 18,029.28 : x
  2. Step 2: Convert to fraction form
    31,449/43,405.84 = 18,029.28/x
  3. Step 3: Cross multiply
    31,449x = 43,405.84 × 18,029.28
  4. Step 4: Simplify right side
    31,449x = 782,576,043.00
  5. Step 5: Solve for x
    x = 782,576,043.00/31,449
  6. Step 6: Final answer
    x = 24,883.97

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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.