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Finding the Fourth Proportional to 14,823.16, 20,455.54 and 8,108.64

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Solution

The fourth proportional to 14,823.16, 20,455.54 and 8,108.64 is: 11,189.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.16 : 20,455.54 = 8,108.64 : x
  2. Step 2: Convert to fraction form
    14,823.16/20,455.54 = 8,108.64/x
  3. Step 3: Cross multiply
    14,823.16x = 20,455.54 × 8,108.64
  4. Step 4: Simplify right side
    14,823.16x = 165,866,589.59
  5. Step 5: Solve for x
    x = 165,866,589.59/14,823.16
  6. Step 6: Final answer
    x = 11,189.69

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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.