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Finding the Fourth Proportional to 14,278.76, 21,414.03 and 4,918.40

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Solution

The fourth proportional to 14,278.76, 21,414.03 and 4,918.40 is: 7,376.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,278.76 : 21,414.03 = 4,918.40 : x
  2. Step 2: Convert to fraction form
    14,278.76/21,414.03 = 4,918.40/x
  3. Step 3: Cross multiply
    14,278.76x = 21,414.03 × 4,918.40
  4. Step 4: Simplify right side
    14,278.76x = 105,322,765.15
  5. Step 5: Solve for x
    x = 105,322,765.15/14,278.76
  6. Step 6: Final answer
    x = 7,376.18

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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.