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Finding the Fourth Proportional to 47,936.94, 71,905.41 and 14,657

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Solution

The fourth proportional to 47,936.94, 71,905.41 and 14,657 is: 21,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,936.94 : 71,905.41 = 14,657 : x
  2. Step 2: Convert to fraction form
    47,936.94/71,905.41 = 14,657/x
  3. Step 3: Cross multiply
    47,936.94x = 71,905.41 × 14,657
  4. Step 4: Simplify right side
    47,936.94x = 1,053,917,521.09
  5. Step 5: Solve for x
    x = 1,053,917,521.09/47,936.94
  6. Step 6: Final answer
    x = 21,985.50

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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.