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Finding the Fourth Proportional to 14,786.84, 20,404.95 and 8,412.54

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Solution

The fourth proportional to 14,786.84, 20,404.95 and 8,412.54 is: 11,608.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,786.84 : 20,404.95 = 8,412.54 : x
  2. Step 2: Convert to fraction form
    14,786.84/20,404.95 = 8,412.54/x
  3. Step 3: Cross multiply
    14,786.84x = 20,404.95 × 8,412.54
  4. Step 4: Simplify right side
    14,786.84x = 171,657,458.07
  5. Step 5: Solve for x
    x = 171,657,458.07/14,786.84
  6. Step 6: Final answer
    x = 11,608.80

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1.5x scale

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.