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Finding the Fourth Proportional to 31,898, 47,857.08 and 14,369.36

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Solution

The fourth proportional to 31,898, 47,857.08 and 14,369.36 is: 21,558.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,898 : 47,857.08 = 14,369.36 : x
  2. Step 2: Convert to fraction form
    31,898/47,857.08 = 14,369.36/x
  3. Step 3: Cross multiply
    31,898x = 47,857.08 × 14,369.36
  4. Step 4: Simplify right side
    31,898x = 687,675,611.07
  5. Step 5: Solve for x
    x = 687,675,611.07/31,898
  6. Step 6: Final answer
    x = 21,558.58

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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.