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Finding the Fourth Proportional to 11,354.44, 15,669.12 and 6,386.44

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Solution

The fourth proportional to 11,354.44, 15,669.12 and 6,386.44 is: 8,813.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,354.44 : 15,669.12 = 6,386.44 : x
  2. Step 2: Convert to fraction form
    11,354.44/15,669.12 = 6,386.44/x
  3. Step 3: Cross multiply
    11,354.44x = 15,669.12 × 6,386.44
  4. Step 4: Simplify right side
    11,354.44x = 100,069,879.51
  5. Step 5: Solve for x
    x = 100,069,879.51/11,354.44
  6. Step 6: Final answer
    x = 8,813.28

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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.