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Finding the Fourth Proportional to 18,828.80, 25,985.28 and 10,448

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Solution

The fourth proportional to 18,828.80, 25,985.28 and 10,448 is: 14,419.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,828.80 : 25,985.28 = 10,448 : x
  2. Step 2: Convert to fraction form
    18,828.80/25,985.28 = 10,448/x
  3. Step 3: Cross multiply
    18,828.80x = 25,985.28 × 10,448
  4. Step 4: Simplify right side
    18,828.80x = 271,494,205.44
  5. Step 5: Solve for x
    x = 271,494,205.44/18,828.80
  6. Step 6: Final answer
    x = 14,419.09

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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.