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Finding the Fourth Proportional to 28,082.55, 42,109.73 and 9,356

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Solution

The fourth proportional to 28,082.55, 42,109.73 and 9,356 is: 14,029.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,082.55 : 42,109.73 = 9,356 : x
  2. Step 2: Convert to fraction form
    28,082.55/42,109.73 = 9,356/x
  3. Step 3: Cross multiply
    28,082.55x = 42,109.73 × 9,356
  4. Step 4: Simplify right side
    28,082.55x = 393,978,633.88
  5. Step 5: Solve for x
    x = 393,978,633.88/28,082.55
  6. Step 6: Final answer
    x = 14,029.30

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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.