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Finding the Fourth Proportional to 13,774, 19,058.16 and 12,009.28

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Solution

The fourth proportional to 13,774, 19,058.16 and 12,009.28 is: 16,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774 : 19,058.16 = 12,009.28 : x
  2. Step 2: Convert to fraction form
    13,774/19,058.16 = 12,009.28/x
  3. Step 3: Cross multiply
    13,774x = 19,058.16 × 12,009.28
  4. Step 4: Simplify right side
    13,774x = 228,874,779.72
  5. Step 5: Solve for x
    x = 228,874,779.72/13,774
  6. Step 6: Final answer
    x = 16,616.44

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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.