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Finding the Fourth Proportional to 3,124.27, 4,686.27 and 1,274.77

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Solution

The fourth proportional to 3,124.27, 4,686.27 and 1,274.77 is: 1,912.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.27 : 4,686.27 = 1,274.77 : x
  2. Step 2: Convert to fraction form
    3,124.27/4,686.27 = 1,274.77/x
  3. Step 3: Cross multiply
    3,124.27x = 4,686.27 × 1,274.77
  4. Step 4: Simplify right side
    3,124.27x = 5,973,916.41
  5. Step 5: Solve for x
    x = 5,973,916.41/3,124.27
  6. Step 6: Final answer
    x = 1,912.10

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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.