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Finding the Fourth Proportional to 13,852.35, 20,781.63 and 6,453

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Solution

The fourth proportional to 13,852.35, 20,781.63 and 6,453 is: 9,680.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.35 : 20,781.63 = 6,453 : x
  2. Step 2: Convert to fraction form
    13,852.35/20,781.63 = 6,453/x
  3. Step 3: Cross multiply
    13,852.35x = 20,781.63 × 6,453
  4. Step 4: Simplify right side
    13,852.35x = 134,103,858.39
  5. Step 5: Solve for x
    x = 134,103,858.39/13,852.35
  6. Step 6: Final answer
    x = 9,680.95

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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.