Home / 4,557-6,834.89-1,781.74

Finding the Fourth Proportional to 4,557, 6,834.89 and 1,781.74

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Solution

The fourth proportional to 4,557, 6,834.89 and 1,781.74 is: 2,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,557 : 6,834.89 = 1,781.74 : x
  2. Step 2: Convert to fraction form
    4,557/6,834.89 = 1,781.74/x
  3. Step 3: Cross multiply
    4,557x = 6,834.89 × 1,781.74
  4. Step 4: Simplify right side
    4,557x = 12,177,996.91
  5. Step 5: Solve for x
    x = 12,177,996.91/4,557
  6. Step 6: Final answer
    x = 2,672.37

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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.