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Finding the Fourth Proportional to 4,975.92, 7,463.82 and 1,278.09

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Solution

The fourth proportional to 4,975.92, 7,463.82 and 1,278.09 is: 1,917.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975.92 : 7,463.82 = 1,278.09 : x
  2. Step 2: Convert to fraction form
    4,975.92/7,463.82 = 1,278.09/x
  3. Step 3: Cross multiply
    4,975.92x = 7,463.82 × 1,278.09
  4. Step 4: Simplify right side
    4,975.92x = 9,539,433.70
  5. Step 5: Solve for x
    x = 9,539,433.70/4,975.92
  6. Step 6: Final answer
    x = 1,917.12

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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.