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Finding the Fourth Proportional to 28,649, 42,975.93 and 7,872.50

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Solution

The fourth proportional to 28,649, 42,975.93 and 7,872.50 is: 11,809.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,649 : 42,975.93 = 7,872.50 : x
  2. Step 2: Convert to fraction form
    28,649/42,975.93 = 7,872.50/x
  3. Step 3: Cross multiply
    28,649x = 42,975.93 × 7,872.50
  4. Step 4: Simplify right side
    28,649x = 338,328,008.93
  5. Step 5: Solve for x
    x = 338,328,008.93/28,649
  6. Step 6: Final answer
    x = 11,809.42

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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.