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Finding the Fourth Proportional to 18,829.63, 28,244.43 and 7,142.84

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Solution

The fourth proportional to 18,829.63, 28,244.43 and 7,142.84 is: 10,714.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,829.63 : 28,244.43 = 7,142.84 : x
  2. Step 2: Convert to fraction form
    18,829.63/28,244.43 = 7,142.84/x
  3. Step 3: Cross multiply
    18,829.63x = 28,244.43 × 7,142.84
  4. Step 4: Simplify right side
    18,829.63x = 201,745,567.95
  5. Step 5: Solve for x
    x = 201,745,567.95/18,829.63
  6. Step 6: Final answer
    x = 10,714.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.