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Finding the Fourth Proportional to 14,348, 19,800.42 and 8,682.86

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Solution

The fourth proportional to 14,348, 19,800.42 and 8,682.86 is: 11,982.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,348 : 19,800.42 = 8,682.86 : x
  2. Step 2: Convert to fraction form
    14,348/19,800.42 = 8,682.86/x
  3. Step 3: Cross multiply
    14,348x = 19,800.42 × 8,682.86
  4. Step 4: Simplify right side
    14,348x = 171,924,274.80
  5. Step 5: Solve for x
    x = 171,924,274.80/14,348
  6. Step 6: Final answer
    x = 11,982.46

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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.