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Finding the Fourth Proportional to 4,909.22, 6,774.76 and 2,919.40

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Solution

The fourth proportional to 4,909.22, 6,774.76 and 2,919.40 is: 4,028.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.22 : 6,774.76 = 2,919.40 : x
  2. Step 2: Convert to fraction form
    4,909.22/6,774.76 = 2,919.40/x
  3. Step 3: Cross multiply
    4,909.22x = 6,774.76 × 2,919.40
  4. Step 4: Simplify right side
    4,909.22x = 19,778,234.34
  5. Step 5: Solve for x
    x = 19,778,234.34/4,909.22
  6. Step 6: Final answer
    x = 4,028.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.