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Finding the Fourth Proportional to 12,914.66, 19,378.53 and 9,634.34

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Solution

The fourth proportional to 12,914.66, 19,378.53 and 9,634.34 is: 14,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.66 : 19,378.53 = 9,634.34 : x
  2. Step 2: Convert to fraction form
    12,914.66/19,378.53 = 9,634.34/x
  3. Step 3: Cross multiply
    12,914.66x = 19,378.53 × 9,634.34
  4. Step 4: Simplify right side
    12,914.66x = 186,699,346.72
  5. Step 5: Solve for x
    x = 186,699,346.72/12,914.66
  6. Step 6: Final answer
    x = 14,456.39

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1.5x scale

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.