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Finding the Fourth Proportional to 14,494.88, 20,004.72 and 8,207.12

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Solution

The fourth proportional to 14,494.88, 20,004.72 and 8,207.12 is: 11,326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.88 : 20,004.72 = 8,207.12 : x
  2. Step 2: Convert to fraction form
    14,494.88/20,004.72 = 8,207.12/x
  3. Step 3: Cross multiply
    14,494.88x = 20,004.72 × 8,207.12
  4. Step 4: Simplify right side
    14,494.88x = 164,181,137.61
  5. Step 5: Solve for x
    x = 164,181,137.61/14,494.88
  6. Step 6: Final answer
    x = 11,326.84

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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.