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Finding the Fourth Proportional to 28,325, 42,468.75 and 15,846.33

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Solution

The fourth proportional to 28,325, 42,468.75 and 15,846.33 is: 23,759.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,325 : 42,468.75 = 15,846.33 : x
  2. Step 2: Convert to fraction form
    28,325/42,468.75 = 15,846.33/x
  3. Step 3: Cross multiply
    28,325x = 42,468.75 × 15,846.33
  4. Step 4: Simplify right side
    28,325x = 672,973,827.19
  5. Step 5: Solve for x
    x = 672,973,827.19/28,325
  6. Step 6: Final answer
    x = 23,759.01

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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.