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Finding the Fourth Proportional to 21,216, 31,824 and 7,365

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Solution

The fourth proportional to 21,216, 31,824 and 7,365 is: 11,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,216 : 31,824 = 7,365 : x
  2. Step 2: Convert to fraction form
    21,216/31,824 = 7,365/x
  3. Step 3: Cross multiply
    21,216x = 31,824 × 7,365
  4. Step 4: Simplify right side
    21,216x = 234,383,760
  5. Step 5: Solve for x
    x = 234,383,760/21,216
  6. Step 6: Final answer
    x = 11,047.50

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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.