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Finding the Fourth Proportional to 7,424, 11,136.64 and 1,952

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Solution

The fourth proportional to 7,424, 11,136.64 and 1,952 is: 2,928.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,424 : 11,136.64 = 1,952 : x
  2. Step 2: Convert to fraction form
    7,424/11,136.64 = 1,952/x
  3. Step 3: Cross multiply
    7,424x = 11,136.64 × 1,952
  4. Step 4: Simplify right side
    7,424x = 21,738,721.28
  5. Step 5: Solve for x
    x = 21,738,721.28/7,424
  6. Step 6: Final answer
    x = 2,928.17

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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.