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Finding the Fourth Proportional to 21,786, 30,079.48 and 14,626.60

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Solution

The fourth proportional to 21,786, 30,079.48 and 14,626.60 is: 20,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786 : 30,079.48 = 14,626.60 : x
  2. Step 2: Convert to fraction form
    21,786/30,079.48 = 14,626.60/x
  3. Step 3: Cross multiply
    21,786x = 30,079.48 × 14,626.60
  4. Step 4: Simplify right side
    21,786x = 439,960,522.17
  5. Step 5: Solve for x
    x = 439,960,522.17/21,786
  6. Step 6: Final answer
    x = 20,194.64

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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.