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Finding the Fourth Proportional to 28,571.97, 42,857.50 and 7,795.47

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Solution

The fourth proportional to 28,571.97, 42,857.50 and 7,795.47 is: 11,693.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,571.97 : 42,857.50 = 7,795.47 : x
  2. Step 2: Convert to fraction form
    28,571.97/42,857.50 = 7,795.47/x
  3. Step 3: Cross multiply
    28,571.97x = 42,857.50 × 7,795.47
  4. Step 4: Simplify right side
    28,571.97x = 334,094,355.53
  5. Step 5: Solve for x
    x = 334,094,355.53/28,571.97
  6. Step 6: Final answer
    x = 11,693.08

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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.