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Finding the Fourth Proportional to 14,788.98, 20,406.16 and 8,414.55

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Solution

The fourth proportional to 14,788.98, 20,406.16 and 8,414.55 is: 11,610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,788.98 : 20,406.16 = 8,414.55 : x
  2. Step 2: Convert to fraction form
    14,788.98/20,406.16 = 8,414.55/x
  3. Step 3: Cross multiply
    14,788.98x = 20,406.16 × 8,414.55
  4. Step 4: Simplify right side
    14,788.98x = 171,708,653.63
  5. Step 5: Solve for x
    x = 171,708,653.63/14,788.98
  6. Step 6: Final answer
    x = 11,610.59

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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.