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Finding the Fourth Proportional to 17,280, 25,776.36 and 16,994.61

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Solution

The fourth proportional to 17,280, 25,776.36 and 16,994.61 is: 25,350.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,280 : 25,776.36 = 16,994.61 : x
  2. Step 2: Convert to fraction form
    17,280/25,776.36 = 16,994.61/x
  3. Step 3: Cross multiply
    17,280x = 25,776.36 × 16,994.61
  4. Step 4: Simplify right side
    17,280x = 438,059,185.42
  5. Step 5: Solve for x
    x = 438,059,185.42/17,280
  6. Step 6: Final answer
    x = 25,350.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.