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Finding the Fourth Proportional to 11,187, 15,438.12 and 6,219

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Solution

The fourth proportional to 11,187, 15,438.12 and 6,219 is: 8,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187 : 15,438.12 = 6,219 : x
  2. Step 2: Convert to fraction form
    11,187/15,438.12 = 6,219/x
  3. Step 3: Cross multiply
    11,187x = 15,438.12 × 6,219
  4. Step 4: Simplify right side
    11,187x = 96,009,668.28
  5. Step 5: Solve for x
    x = 96,009,668.28/11,187
  6. Step 6: Final answer
    x = 8,582.25

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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.