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Finding the Fourth Proportional to 13,830.90, 20,746.62 and 7,269.90

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Solution

The fourth proportional to 13,830.90, 20,746.62 and 7,269.90 is: 10,904.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.90 : 20,746.62 = 7,269.90 : x
  2. Step 2: Convert to fraction form
    13,830.90/20,746.62 = 7,269.90/x
  3. Step 3: Cross multiply
    13,830.90x = 20,746.62 × 7,269.90
  4. Step 4: Simplify right side
    13,830.90x = 150,825,852.74
  5. Step 5: Solve for x
    x = 150,825,852.74/13,830.90
  6. Step 6: Final answer
    x = 10,904.99

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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.