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Finding the Fourth Proportional to 12,278, 18,400.74 and 4,878.38

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Solution

The fourth proportional to 12,278, 18,400.74 and 4,878.38 is: 7,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278 : 18,400.74 = 4,878.38 : x
  2. Step 2: Convert to fraction form
    12,278/18,400.74 = 4,878.38/x
  3. Step 3: Cross multiply
    12,278x = 18,400.74 × 4,878.38
  4. Step 4: Simplify right side
    12,278x = 89,765,802.00
  5. Step 5: Solve for x
    x = 89,765,802.00/12,278
  6. Step 6: Final answer
    x = 7,311.11

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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.