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Finding the Fourth Proportional to 14,919.16, 20,588.02 and 8,204.78

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Solution

The fourth proportional to 14,919.16, 20,588.02 and 8,204.78 is: 11,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,919.16 : 20,588.02 = 8,204.78 : x
  2. Step 2: Convert to fraction form
    14,919.16/20,588.02 = 8,204.78/x
  3. Step 3: Cross multiply
    14,919.16x = 20,588.02 × 8,204.78
  4. Step 4: Simplify right side
    14,919.16x = 168,920,174.74
  5. Step 5: Solve for x
    x = 168,920,174.74/14,919.16
  6. Step 6: Final answer
    x = 11,322.36

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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.