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Finding the Fourth Proportional to 21,451.28, 29,602.68 and 12,020

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Solution

The fourth proportional to 21,451.28, 29,602.68 and 12,020 is: 16,587.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,451.28 : 29,602.68 = 12,020 : x
  2. Step 2: Convert to fraction form
    21,451.28/29,602.68 = 12,020/x
  3. Step 3: Cross multiply
    21,451.28x = 29,602.68 × 12,020
  4. Step 4: Simplify right side
    21,451.28x = 355,824,213.60
  5. Step 5: Solve for x
    x = 355,824,213.60/21,451.28
  6. Step 6: Final answer
    x = 16,587.55

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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.