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Finding the Fourth Proportional to 14,902, 20,564.80 and 8,278

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Solution

The fourth proportional to 14,902, 20,564.80 and 8,278 is: 11,423.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,902 : 20,564.80 = 8,278 : x
  2. Step 2: Convert to fraction form
    14,902/20,564.80 = 8,278/x
  3. Step 3: Cross multiply
    14,902x = 20,564.80 × 8,278
  4. Step 4: Simplify right side
    14,902x = 170,235,414.40
  5. Step 5: Solve for x
    x = 170,235,414.40/14,902
  6. Step 6: Final answer
    x = 11,423.66

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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.