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Finding the Fourth Proportional to 20,803, 28,708.26 and 13,351

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Solution

The fourth proportional to 20,803, 28,708.26 and 13,351 is: 18,424.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,803 : 28,708.26 = 13,351 : x
  2. Step 2: Convert to fraction form
    20,803/28,708.26 = 13,351/x
  3. Step 3: Cross multiply
    20,803x = 28,708.26 × 13,351
  4. Step 4: Simplify right side
    20,803x = 383,283,979.26
  5. Step 5: Solve for x
    x = 383,283,979.26/20,803
  6. Step 6: Final answer
    x = 18,424.46

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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.