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Finding the Fourth Proportional to 11,952.48, 17,891.28 and 7,730.14

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Solution

The fourth proportional to 11,952.48, 17,891.28 and 7,730.14 is: 11,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,952.48 : 17,891.28 = 7,730.14 : x
  2. Step 2: Convert to fraction form
    11,952.48/17,891.28 = 7,730.14/x
  3. Step 3: Cross multiply
    11,952.48x = 17,891.28 × 7,730.14
  4. Step 4: Simplify right side
    11,952.48x = 138,302,099.18
  5. Step 5: Solve for x
    x = 138,302,099.18/11,952.48
  6. Step 6: Final answer
    x = 11,571.00

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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.