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Finding the Fourth Proportional to 28,573.14, 42,860.28 and 8,583.42

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Solution

The fourth proportional to 28,573.14, 42,860.28 and 8,583.42 is: 12,875.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,573.14 : 42,860.28 = 8,583.42 : x
  2. Step 2: Convert to fraction form
    28,573.14/42,860.28 = 8,583.42/x
  3. Step 3: Cross multiply
    28,573.14x = 42,860.28 × 8,583.42
  4. Step 4: Simplify right side
    28,573.14x = 367,887,784.56
  5. Step 5: Solve for x
    x = 367,887,784.56/28,573.14
  6. Step 6: Final answer
    x = 12,875.30

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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.