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Finding the Fourth Proportional to 21,120, 29,145.60 and 12,288

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Solution

The fourth proportional to 21,120, 29,145.60 and 12,288 is: 16,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,120 : 29,145.60 = 12,288 : x
  2. Step 2: Convert to fraction form
    21,120/29,145.60 = 12,288/x
  3. Step 3: Cross multiply
    21,120x = 29,145.60 × 12,288
  4. Step 4: Simplify right side
    21,120x = 358,141,132.80
  5. Step 5: Solve for x
    x = 358,141,132.80/21,120
  6. Step 6: Final answer
    x = 16,957.44

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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.