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Finding the Fourth Proportional to 4,909.78, 6,775.05 and 2,892.88

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Solution

The fourth proportional to 4,909.78, 6,775.05 and 2,892.88 is: 3,991.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.78 : 6,775.05 = 2,892.88 : x
  2. Step 2: Convert to fraction form
    4,909.78/6,775.05 = 2,892.88/x
  3. Step 3: Cross multiply
    4,909.78x = 6,775.05 × 2,892.88
  4. Step 4: Simplify right side
    4,909.78x = 19,599,406.64
  5. Step 5: Solve for x
    x = 19,599,406.64/4,909.78
  6. Step 6: Final answer
    x = 3,991.91

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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.