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Finding the Fourth Proportional to 28,087.56, 42,131.22 and 7,311

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Solution

The fourth proportional to 28,087.56, 42,131.22 and 7,311 is: 10,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,087.56 : 42,131.22 = 7,311 : x
  2. Step 2: Convert to fraction form
    28,087.56/42,131.22 = 7,311/x
  3. Step 3: Cross multiply
    28,087.56x = 42,131.22 × 7,311
  4. Step 4: Simplify right side
    28,087.56x = 308,021,349.42
  5. Step 5: Solve for x
    x = 308,021,349.42/28,087.56
  6. Step 6: Final answer
    x = 10,966.47

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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.