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Finding the Fourth Proportional to 28,563.39, 42,844.64 and 7,786.89

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Solution

The fourth proportional to 28,563.39, 42,844.64 and 7,786.89 is: 11,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,563.39 : 42,844.64 = 7,786.89 : x
  2. Step 2: Convert to fraction form
    28,563.39/42,844.64 = 7,786.89/x
  3. Step 3: Cross multiply
    28,563.39x = 42,844.64 × 7,786.89
  4. Step 4: Simplify right side
    28,563.39x = 333,626,459.84
  5. Step 5: Solve for x
    x = 333,626,459.84/28,563.39
  6. Step 6: Final answer
    x = 11,680.21

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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.