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Finding the Fourth Proportional to 21,720, 29,973.60 and 11,784

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Solution

The fourth proportional to 21,720, 29,973.60 and 11,784 is: 16,261.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,720 : 29,973.60 = 11,784 : x
  2. Step 2: Convert to fraction form
    21,720/29,973.60 = 11,784/x
  3. Step 3: Cross multiply
    21,720x = 29,973.60 × 11,784
  4. Step 4: Simplify right side
    21,720x = 353,208,902.40
  5. Step 5: Solve for x
    x = 353,208,902.40/21,720
  6. Step 6: Final answer
    x = 16,261.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.