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Finding the Fourth Proportional to 9,489.84, 14,215.62 and 7,945.27

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Solution

The fourth proportional to 9,489.84, 14,215.62 and 7,945.27 is: 11,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.84 : 14,215.62 = 7,945.27 : x
  2. Step 2: Convert to fraction form
    9,489.84/14,215.62 = 7,945.27/x
  3. Step 3: Cross multiply
    9,489.84x = 14,215.62 × 7,945.27
  4. Step 4: Simplify right side
    9,489.84x = 112,946,888.68
  5. Step 5: Solve for x
    x = 112,946,888.68/9,489.84
  6. Step 6: Final answer
    x = 11,901.88

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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.