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Finding the Fourth Proportional to 28,298, 42,447 and 15,986.96

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Solution

The fourth proportional to 28,298, 42,447 and 15,986.96 is: 23,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,298 : 42,447 = 15,986.96 : x
  2. Step 2: Convert to fraction form
    28,298/42,447 = 15,986.96/x
  3. Step 3: Cross multiply
    28,298x = 42,447 × 15,986.96
  4. Step 4: Simplify right side
    28,298x = 678,598,491.12
  5. Step 5: Solve for x
    x = 678,598,491.12/28,298
  6. Step 6: Final answer
    x = 23,980.44

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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.