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Finding the Fourth Proportional to 14,704.30, 20,291.88 and 8,416

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Solution

The fourth proportional to 14,704.30, 20,291.88 and 8,416 is: 11,614.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,704.30 : 20,291.88 = 8,416 : x
  2. Step 2: Convert to fraction form
    14,704.30/20,291.88 = 8,416/x
  3. Step 3: Cross multiply
    14,704.30x = 20,291.88 × 8,416
  4. Step 4: Simplify right side
    14,704.30x = 170,776,462.08
  5. Step 5: Solve for x
    x = 170,776,462.08/14,704.30
  6. Step 6: Final answer
    x = 11,614.05

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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.