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Finding the Fourth Proportional to 4,784.67, 7,177 and 1,274.68

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Solution

The fourth proportional to 4,784.67, 7,177 and 1,274.68 is: 1,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.67 : 7,177 = 1,274.68 : x
  2. Step 2: Convert to fraction form
    4,784.67/7,177 = 1,274.68/x
  3. Step 3: Cross multiply
    4,784.67x = 7,177 × 1,274.68
  4. Step 4: Simplify right side
    4,784.67x = 9,148,378.36
  5. Step 5: Solve for x
    x = 9,148,378.36/4,784.67
  6. Step 6: Final answer
    x = 1,912.02

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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.