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Finding the Fourth Proportional to 13,972, 20,959.28 and 3,583.84

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Solution

The fourth proportional to 13,972, 20,959.28 and 3,583.84 is: 5,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,972 : 20,959.28 = 3,583.84 : x
  2. Step 2: Convert to fraction form
    13,972/20,959.28 = 3,583.84/x
  3. Step 3: Cross multiply
    13,972x = 20,959.28 × 3,583.84
  4. Step 4: Simplify right side
    13,972x = 75,114,706.04
  5. Step 5: Solve for x
    x = 75,114,706.04/13,972
  6. Step 6: Final answer
    x = 5,376.09

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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.