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Finding the Fourth Proportional to 14,788.62, 20,408.02 and 8,415.07

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Solution

The fourth proportional to 14,788.62, 20,408.02 and 8,415.07 is: 11,612.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.62 : 20,408.02 = 8,415.07 : x
  2. Step 2: Convert to fraction form
    14,788.62/20,408.02 = 8,415.07/x
  3. Step 3: Cross multiply
    14,788.62x = 20,408.02 × 8,415.07
  4. Step 4: Simplify right side
    14,788.62x = 171,734,772.75
  5. Step 5: Solve for x
    x = 171,734,772.75/14,788.62
  6. Step 6: Final answer
    x = 11,612.63

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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.