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Finding the Fourth Proportional to 11,874, 17,808.30 and 4,479.24

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Solution

The fourth proportional to 11,874, 17,808.30 and 4,479.24 is: 6,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874 : 17,808.30 = 4,479.24 : x
  2. Step 2: Convert to fraction form
    11,874/17,808.30 = 4,479.24/x
  3. Step 3: Cross multiply
    11,874x = 17,808.30 × 4,479.24
  4. Step 4: Simplify right side
    11,874x = 79,767,649.69
  5. Step 5: Solve for x
    x = 79,767,649.69/11,874
  6. Step 6: Final answer
    x = 6,717.84

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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.