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Finding the Fourth Proportional to 43,411.80, 65,121.30 and 13,828.80

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Solution

The fourth proportional to 43,411.80, 65,121.30 and 13,828.80 is: 20,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,411.80 : 65,121.30 = 13,828.80 : x
  2. Step 2: Convert to fraction form
    43,411.80/65,121.30 = 13,828.80/x
  3. Step 3: Cross multiply
    43,411.80x = 65,121.30 × 13,828.80
  4. Step 4: Simplify right side
    43,411.80x = 900,549,433.44
  5. Step 5: Solve for x
    x = 900,549,433.44/43,411.80
  6. Step 6: Final answer
    x = 20,744.35

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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.