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Finding the Fourth Proportional to 28,644.84, 42,949.98 and 12,847

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Solution

The fourth proportional to 28,644.84, 42,949.98 and 12,847 is: 19,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,644.84 : 42,949.98 = 12,847 : x
  2. Step 2: Convert to fraction form
    28,644.84/42,949.98 = 12,847/x
  3. Step 3: Cross multiply
    28,644.84x = 42,949.98 × 12,847
  4. Step 4: Simplify right side
    28,644.84x = 551,778,393.06
  5. Step 5: Solve for x
    x = 551,778,393.06/28,644.84
  6. Step 6: Final answer
    x = 19,262.75

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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.