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Finding the Fourth Proportional to 12,482, 18,737.40 and 6,338.96

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Solution

The fourth proportional to 12,482, 18,737.40 and 6,338.96 is: 9,515.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,482 : 18,737.40 = 6,338.96 : x
  2. Step 2: Convert to fraction form
    12,482/18,737.40 = 6,338.96/x
  3. Step 3: Cross multiply
    12,482x = 18,737.40 × 6,338.96
  4. Step 4: Simplify right side
    12,482x = 118,775,629.10
  5. Step 5: Solve for x
    x = 118,775,629.10/12,482
  6. Step 6: Final answer
    x = 9,515.75

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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.