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Finding the Fourth Proportional to 7,605, 11,409.44 and 5,388.21

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Solution

The fourth proportional to 7,605, 11,409.44 and 5,388.21 is: 8,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,605 : 11,409.44 = 5,388.21 : x
  2. Step 2: Convert to fraction form
    7,605/11,409.44 = 5,388.21/x
  3. Step 3: Cross multiply
    7,605x = 11,409.44 × 5,388.21
  4. Step 4: Simplify right side
    7,605x = 61,476,431.76
  5. Step 5: Solve for x
    x = 61,476,431.76/7,605
  6. Step 6: Final answer
    x = 8,083.69

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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.