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Finding the Fourth Proportional to 4,909.64, 6,775.18 and 2,813.64

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Solution

The fourth proportional to 4,909.64, 6,775.18 and 2,813.64 is: 3,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.64 : 6,775.18 = 2,813.64 : x
  2. Step 2: Convert to fraction form
    4,909.64/6,775.18 = 2,813.64/x
  3. Step 3: Cross multiply
    4,909.64x = 6,775.18 × 2,813.64
  4. Step 4: Simplify right side
    4,909.64x = 19,062,917.46
  5. Step 5: Solve for x
    x = 19,062,917.46/4,909.64
  6. Step 6: Final answer
    x = 3,882.75

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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.