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Finding the Fourth Proportional to 28,570.97, 42,856 and 7,794.47

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Solution

The fourth proportional to 28,570.97, 42,856 and 7,794.47 is: 11,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,570.97 : 42,856 = 7,794.47 : x
  2. Step 2: Convert to fraction form
    28,570.97/42,856 = 7,794.47/x
  3. Step 3: Cross multiply
    28,570.97x = 42,856 × 7,794.47
  4. Step 4: Simplify right side
    28,570.97x = 334,039,806.32
  5. Step 5: Solve for x
    x = 334,039,806.32/28,570.97
  6. Step 6: Final answer
    x = 11,691.58

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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.