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Finding the Fourth Proportional to 9,639, 14,435.82 and 8,088.96

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Solution

The fourth proportional to 9,639, 14,435.82 and 8,088.96 is: 12,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 14,435.82 = 8,088.96 : x
  2. Step 2: Convert to fraction form
    9,639/14,435.82 = 8,088.96/x
  3. Step 3: Cross multiply
    9,639x = 14,435.82 × 8,088.96
  4. Step 4: Simplify right side
    9,639x = 116,770,824.68
  5. Step 5: Solve for x
    x = 116,770,824.68/9,639
  6. Step 6: Final answer
    x = 12,114.41

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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.