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Finding the Fourth Proportional to 28,600.52, 42,900.82 and 7,824.02

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Solution

The fourth proportional to 28,600.52, 42,900.82 and 7,824.02 is: 11,736.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,600.52 : 42,900.82 = 7,824.02 : x
  2. Step 2: Convert to fraction form
    28,600.52/42,900.82 = 7,824.02/x
  3. Step 3: Cross multiply
    28,600.52x = 42,900.82 × 7,824.02
  4. Step 4: Simplify right side
    28,600.52x = 335,656,639.63
  5. Step 5: Solve for x
    x = 335,656,639.63/28,600.52
  6. Step 6: Final answer
    x = 11,736.03

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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.