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Finding the Fourth Proportional to 21,328, 31,994.64 and 7,289.44

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Solution

The fourth proportional to 21,328, 31,994.64 and 7,289.44 is: 10,935.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,328 : 31,994.64 = 7,289.44 : x
  2. Step 2: Convert to fraction form
    21,328/31,994.64 = 7,289.44/x
  3. Step 3: Cross multiply
    21,328x = 31,994.64 × 7,289.44
  4. Step 4: Simplify right side
    21,328x = 233,223,008.60
  5. Step 5: Solve for x
    x = 233,223,008.60/21,328
  6. Step 6: Final answer
    x = 10,935.06

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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.