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Finding the Fourth Proportional to 14,362, 19,819.56 and 8,076.40

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Solution

The fourth proportional to 14,362, 19,819.56 and 8,076.40 is: 11,145.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362 : 19,819.56 = 8,076.40 : x
  2. Step 2: Convert to fraction form
    14,362/19,819.56 = 8,076.40/x
  3. Step 3: Cross multiply
    14,362x = 19,819.56 × 8,076.40
  4. Step 4: Simplify right side
    14,362x = 160,070,694.38
  5. Step 5: Solve for x
    x = 160,070,694.38/14,362
  6. Step 6: Final answer
    x = 11,145.43

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Why These Related Problems?

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