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Finding the Fourth Proportional to 4,842.88, 6,687.12 and 3,946.76

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Solution

The fourth proportional to 4,842.88, 6,687.12 and 3,946.76 is: 5,449.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.88 : 6,687.12 = 3,946.76 : x
  2. Step 2: Convert to fraction form
    4,842.88/6,687.12 = 3,946.76/x
  3. Step 3: Cross multiply
    4,842.88x = 6,687.12 × 3,946.76
  4. Step 4: Simplify right side
    4,842.88x = 26,392,457.73
  5. Step 5: Solve for x
    x = 26,392,457.73/4,842.88
  6. Step 6: Final answer
    x = 5,449.74

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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.