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Finding the Fourth Proportional to 3,168.68, 4,752.66 and 860.36

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Solution

The fourth proportional to 3,168.68, 4,752.66 and 860.36 is: 1,290.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.68 : 4,752.66 = 860.36 : x
  2. Step 2: Convert to fraction form
    3,168.68/4,752.66 = 860.36/x
  3. Step 3: Cross multiply
    3,168.68x = 4,752.66 × 860.36
  4. Step 4: Simplify right side
    3,168.68x = 4,088,998.56
  5. Step 5: Solve for x
    x = 4,088,998.56/3,168.68
  6. Step 6: Final answer
    x = 1,290.44

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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.