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Finding the Fourth Proportional to 11,655.84, 17,474.66 and 7,948.88

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Solution

The fourth proportional to 11,655.84, 17,474.66 and 7,948.88 is: 11,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.84 : 17,474.66 = 7,948.88 : x
  2. Step 2: Convert to fraction form
    11,655.84/17,474.66 = 7,948.88/x
  3. Step 3: Cross multiply
    11,655.84x = 17,474.66 × 7,948.88
  4. Step 4: Simplify right side
    11,655.84x = 138,903,975.38
  5. Step 5: Solve for x
    x = 138,903,975.38/11,655.84
  6. Step 6: Final answer
    x = 11,917.11

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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.