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Finding the Fourth Proportional to 4,964.74, 7,447.31 and 1,678.16

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Solution

The fourth proportional to 4,964.74, 7,447.31 and 1,678.16 is: 2,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.74 : 7,447.31 = 1,678.16 : x
  2. Step 2: Convert to fraction form
    4,964.74/7,447.31 = 1,678.16/x
  3. Step 3: Cross multiply
    4,964.74x = 7,447.31 × 1,678.16
  4. Step 4: Simplify right side
    4,964.74x = 12,497,777.75
  5. Step 5: Solve for x
    x = 12,497,777.75/4,964.74
  6. Step 6: Final answer
    x = 2,517.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.