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Finding the Fourth Proportional to 28,604, 42,855.96 and 19,844.48

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Solution

The fourth proportional to 28,604, 42,855.96 and 19,844.48 is: 29,732.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,604 : 42,855.96 = 19,844.48 : x
  2. Step 2: Convert to fraction form
    28,604/42,855.96 = 19,844.48/x
  3. Step 3: Cross multiply
    28,604x = 42,855.96 × 19,844.48
  4. Step 4: Simplify right side
    28,604x = 850,454,241.10
  5. Step 5: Solve for x
    x = 850,454,241.10/28,604
  6. Step 6: Final answer
    x = 29,732.00

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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.