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Finding the Fourth Proportional to 21,251.84, 31,840.81 and 14,913.27

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Solution

The fourth proportional to 21,251.84, 31,840.81 and 14,913.27 is: 22,343.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,251.84 : 31,840.81 = 14,913.27 : x
  2. Step 2: Convert to fraction form
    21,251.84/31,840.81 = 14,913.27/x
  3. Step 3: Cross multiply
    21,251.84x = 31,840.81 × 14,913.27
  4. Step 4: Simplify right side
    21,251.84x = 474,850,559.27
  5. Step 5: Solve for x
    x = 474,850,559.27/21,251.84
  6. Step 6: Final answer
    x = 22,343.98

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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.