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Finding the Fourth Proportional to 4,900, 6,760.56 and 2,909.56

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Solution

The fourth proportional to 4,900, 6,760.56 and 2,909.56 is: 4,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,900 : 6,760.56 = 2,909.56 : x
  2. Step 2: Convert to fraction form
    4,900/6,760.56 = 2,909.56/x
  3. Step 3: Cross multiply
    4,900x = 6,760.56 × 2,909.56
  4. Step 4: Simplify right side
    4,900x = 19,670,254.95
  5. Step 5: Solve for x
    x = 19,670,254.95/4,900
  6. Step 6: Final answer
    x = 4,014.34

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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.