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Finding the Fourth Proportional to 14,367.68, 19,829.44 and 8,080.64

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Solution

The fourth proportional to 14,367.68, 19,829.44 and 8,080.64 is: 11,152.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,367.68 : 19,829.44 = 8,080.64 : x
  2. Step 2: Convert to fraction form
    14,367.68/19,829.44 = 8,080.64/x
  3. Step 3: Cross multiply
    14,367.68x = 19,829.44 × 8,080.64
  4. Step 4: Simplify right side
    14,367.68x = 160,234,566.04
  5. Step 5: Solve for x
    x = 160,234,566.04/14,367.68
  6. Step 6: Final answer
    x = 11,152.43

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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.