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Finding the Fourth Proportional to 3,874.74, 5,812.11 and 1,277.69

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Solution

The fourth proportional to 3,874.74, 5,812.11 and 1,277.69 is: 1,916.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.74 : 5,812.11 = 1,277.69 : x
  2. Step 2: Convert to fraction form
    3,874.74/5,812.11 = 1,277.69/x
  3. Step 3: Cross multiply
    3,874.74x = 5,812.11 × 1,277.69
  4. Step 4: Simplify right side
    3,874.74x = 7,426,045.77
  5. Step 5: Solve for x
    x = 7,426,045.77/3,874.74
  6. Step 6: Final answer
    x = 1,916.53

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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.