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Finding the Fourth Proportional to 11,210, 15,469.80 and 6,242

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Solution

The fourth proportional to 11,210, 15,469.80 and 6,242 is: 8,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,210 : 15,469.80 = 6,242 : x
  2. Step 2: Convert to fraction form
    11,210/15,469.80 = 6,242/x
  3. Step 3: Cross multiply
    11,210x = 15,469.80 × 6,242
  4. Step 4: Simplify right side
    11,210x = 96,562,491.60
  5. Step 5: Solve for x
    x = 96,562,491.60/11,210
  6. Step 6: Final answer
    x = 8,613.96

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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.