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Finding the Fourth Proportional to 14,842.46, 20,482.71 and 8,128.71

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Solution

The fourth proportional to 14,842.46, 20,482.71 and 8,128.71 is: 11,217.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.46 : 20,482.71 = 8,128.71 : x
  2. Step 2: Convert to fraction form
    14,842.46/20,482.71 = 8,128.71/x
  3. Step 3: Cross multiply
    14,842.46x = 20,482.71 × 8,128.71
  4. Step 4: Simplify right side
    14,842.46x = 166,497,979.12
  5. Step 5: Solve for x
    x = 166,497,979.12/14,842.46
  6. Step 6: Final answer
    x = 11,217.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.