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Finding the Fourth Proportional to 3,100.68, 4,651.02 and 909.58

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Solution

The fourth proportional to 3,100.68, 4,651.02 and 909.58 is: 1,364.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.68 : 4,651.02 = 909.58 : x
  2. Step 2: Convert to fraction form
    3,100.68/4,651.02 = 909.58/x
  3. Step 3: Cross multiply
    3,100.68x = 4,651.02 × 909.58
  4. Step 4: Simplify right side
    3,100.68x = 4,230,471.86
  5. Step 5: Solve for x
    x = 4,230,471.86/3,100.68
  6. Step 6: Final answer
    x = 1,364.37

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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.