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Finding the Fourth Proportional to 13,826, 19,073.30 and 9,351.32

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Solution

The fourth proportional to 13,826, 19,073.30 and 9,351.32 is: 12,900.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,826 : 19,073.30 = 9,351.32 : x
  2. Step 2: Convert to fraction form
    13,826/19,073.30 = 9,351.32/x
  3. Step 3: Cross multiply
    13,826x = 19,073.30 × 9,351.32
  4. Step 4: Simplify right side
    13,826x = 178,360,531.76
  5. Step 5: Solve for x
    x = 178,360,531.76/13,826
  6. Step 6: Final answer
    x = 12,900.37

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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.