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Finding the Fourth Proportional to 7,809.54, 11,719.50 and 3,649.87

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Solution

The fourth proportional to 7,809.54, 11,719.50 and 3,649.87 is: 5,477.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,809.54 : 11,719.50 = 3,649.87 : x
  2. Step 2: Convert to fraction form
    7,809.54/11,719.50 = 3,649.87/x
  3. Step 3: Cross multiply
    7,809.54x = 11,719.50 × 3,649.87
  4. Step 4: Simplify right side
    7,809.54x = 42,774,574.62
  5. Step 5: Solve for x
    x = 42,774,574.62/7,809.54
  6. Step 6: Final answer
    x = 5,477.22

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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.