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Finding the Fourth Proportional to 13,151.20, 19,705.20 and 11,207.20

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Solution

The fourth proportional to 13,151.20, 19,705.20 and 11,207.20 is: 16,792.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,151.20 : 19,705.20 = 11,207.20 : x
  2. Step 2: Convert to fraction form
    13,151.20/19,705.20 = 11,207.20/x
  3. Step 3: Cross multiply
    13,151.20x = 19,705.20 × 11,207.20
  4. Step 4: Simplify right side
    13,151.20x = 220,840,117.44
  5. Step 5: Solve for x
    x = 220,840,117.44/13,151.20
  6. Step 6: Final answer
    x = 16,792.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.