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Finding the Fourth Proportional to 28,367, 42,569.94 and 9,899

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Solution

The fourth proportional to 28,367, 42,569.94 and 9,899 is: 14,855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,367 : 42,569.94 = 9,899 : x
  2. Step 2: Convert to fraction form
    28,367/42,569.94 = 9,899/x
  3. Step 3: Cross multiply
    28,367x = 42,569.94 × 9,899
  4. Step 4: Simplify right side
    28,367x = 421,399,836.06
  5. Step 5: Solve for x
    x = 421,399,836.06/28,367
  6. Step 6: Final answer
    x = 14,855.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.