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Finding the Fourth Proportional to 9,134.50, 13,693.53 and 3,287

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Solution

The fourth proportional to 9,134.50, 13,693.53 and 3,287 is: 4,927.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.50 : 13,693.53 = 3,287 : x
  2. Step 2: Convert to fraction form
    9,134.50/13,693.53 = 3,287/x
  3. Step 3: Cross multiply
    9,134.50x = 13,693.53 × 3,287
  4. Step 4: Simplify right side
    9,134.50x = 45,010,633.11
  5. Step 5: Solve for x
    x = 45,010,633.11/9,134.50
  6. Step 6: Final answer
    x = 4,927.54

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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.