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Finding the Fourth Proportional to 3,101.08, 4,651.65 and 909.85

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Solution

The fourth proportional to 3,101.08, 4,651.65 and 909.85 is: 1,364.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,101.08 : 4,651.65 = 909.85 : x
  2. Step 2: Convert to fraction form
    3,101.08/4,651.65 = 909.85/x
  3. Step 3: Cross multiply
    3,101.08x = 4,651.65 × 909.85
  4. Step 4: Simplify right side
    3,101.08x = 4,232,303.75
  5. Step 5: Solve for x
    x = 4,232,303.75/3,101.08
  6. Step 6: Final answer
    x = 1,364.79

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1.5x scale

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.