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Finding the Fourth Proportional to 9,208, 13,810.74 and 2,634.76

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Solution

The fourth proportional to 9,208, 13,810.74 and 2,634.76 is: 3,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208 : 13,810.74 = 2,634.76 : x
  2. Step 2: Convert to fraction form
    9,208/13,810.74 = 2,634.76/x
  3. Step 3: Cross multiply
    9,208x = 13,810.74 × 2,634.76
  4. Step 4: Simplify right side
    9,208x = 36,387,985.32
  5. Step 5: Solve for x
    x = 36,387,985.32/9,208
  6. Step 6: Final answer
    x = 3,951.78

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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.