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Finding the Fourth Proportional to 4,777.27, 7,166.63 and 1,490.63

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Solution

The fourth proportional to 4,777.27, 7,166.63 and 1,490.63 is: 2,236.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.27 : 7,166.63 = 1,490.63 : x
  2. Step 2: Convert to fraction form
    4,777.27/7,166.63 = 1,490.63/x
  3. Step 3: Cross multiply
    4,777.27x = 7,166.63 × 1,490.63
  4. Step 4: Simplify right side
    4,777.27x = 10,682,761.57
  5. Step 5: Solve for x
    x = 10,682,761.57/4,777.27
  6. Step 6: Final answer
    x = 2,236.17

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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.