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Finding the Fourth Proportional to 3,118.66, 4,678.17 and 1,170.88

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Solution

The fourth proportional to 3,118.66, 4,678.17 and 1,170.88 is: 1,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.66 : 4,678.17 = 1,170.88 : x
  2. Step 2: Convert to fraction form
    3,118.66/4,678.17 = 1,170.88/x
  3. Step 3: Cross multiply
    3,118.66x = 4,678.17 × 1,170.88
  4. Step 4: Simplify right side
    3,118.66x = 5,477,575.69
  5. Step 5: Solve for x
    x = 5,477,575.69/3,118.66
  6. Step 6: Final answer
    x = 1,756.39

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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.