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Finding the Fourth Proportional to 14,562, 20,095.56 and 8,274.78

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Solution

The fourth proportional to 14,562, 20,095.56 and 8,274.78 is: 11,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562 : 20,095.56 = 8,274.78 : x
  2. Step 2: Convert to fraction form
    14,562/20,095.56 = 8,274.78/x
  3. Step 3: Cross multiply
    14,562x = 20,095.56 × 8,274.78
  4. Step 4: Simplify right side
    14,562x = 166,286,337.98
  5. Step 5: Solve for x
    x = 166,286,337.98/14,562
  6. Step 6: Final answer
    x = 11,419.20

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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.