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Finding the Fourth Proportional to 20,872, 28,803.36 and 11,440.63

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Solution

The fourth proportional to 20,872, 28,803.36 and 11,440.63 is: 15,788.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872 : 28,803.36 = 11,440.63 : x
  2. Step 2: Convert to fraction form
    20,872/28,803.36 = 11,440.63/x
  3. Step 3: Cross multiply
    20,872x = 28,803.36 × 11,440.63
  4. Step 4: Simplify right side
    20,872x = 329,528,584.52
  5. Step 5: Solve for x
    x = 329,528,584.52/20,872
  6. Step 6: Final answer
    x = 15,788.07

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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.