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Finding the Fourth Proportional to 12,096.75, 18,128.10 and 9,620.58

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Solution

The fourth proportional to 12,096.75, 18,128.10 and 9,620.58 is: 14,417.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,096.75 : 18,128.10 = 9,620.58 : x
  2. Step 2: Convert to fraction form
    12,096.75/18,128.10 = 9,620.58/x
  3. Step 3: Cross multiply
    12,096.75x = 18,128.10 × 9,620.58
  4. Step 4: Simplify right side
    12,096.75x = 174,402,836.30
  5. Step 5: Solve for x
    x = 174,402,836.30/12,096.75
  6. Step 6: Final answer
    x = 14,417.33

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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.