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Finding the Fourth Proportional to 7,809.04, 11,718.74 and 3,649.37

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Solution

The fourth proportional to 7,809.04, 11,718.74 and 3,649.37 is: 5,476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.04 : 11,718.74 = 3,649.37 : x
  2. Step 2: Convert to fraction form
    7,809.04/11,718.74 = 3,649.37/x
  3. Step 3: Cross multiply
    7,809.04x = 11,718.74 × 3,649.37
  4. Step 4: Simplify right side
    7,809.04x = 42,765,968.72
  5. Step 5: Solve for x
    x = 42,765,968.72/7,809.04
  6. Step 6: Final answer
    x = 5,476.47

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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.