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Finding the Fourth Proportional to 9,530, 13,151.40 and 6,218

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Solution

The fourth proportional to 9,530, 13,151.40 and 6,218 is: 8,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,530 : 13,151.40 = 6,218 : x
  2. Step 2: Convert to fraction form
    9,530/13,151.40 = 6,218/x
  3. Step 3: Cross multiply
    9,530x = 13,151.40 × 6,218
  4. Step 4: Simplify right side
    9,530x = 81,775,405.20
  5. Step 5: Solve for x
    x = 81,775,405.20/9,530
  6. Step 6: Final answer
    x = 8,580.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.