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Finding the Fourth Proportional to 28,578, 42,860.62 and 9,857.28

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Solution

The fourth proportional to 28,578, 42,860.62 and 9,857.28 is: 14,783.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,578 : 42,860.62 = 9,857.28 : x
  2. Step 2: Convert to fraction form
    28,578/42,860.62 = 9,857.28/x
  3. Step 3: Cross multiply
    28,578x = 42,860.62 × 9,857.28
  4. Step 4: Simplify right side
    28,578x = 422,489,132.31
  5. Step 5: Solve for x
    x = 422,489,132.31/28,578
  6. Step 6: Final answer
    x = 14,783.72

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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.