Home / 4,174-6,263.82-1,577.08

Finding the Fourth Proportional to 4,174, 6,263.82 and 1,577.08

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Solution

The fourth proportional to 4,174, 6,263.82 and 1,577.08 is: 2,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174 : 6,263.82 = 1,577.08 : x
  2. Step 2: Convert to fraction form
    4,174/6,263.82 = 1,577.08/x
  3. Step 3: Cross multiply
    4,174x = 6,263.82 × 1,577.08
  4. Step 4: Simplify right side
    4,174x = 9,878,545.25
  5. Step 5: Solve for x
    x = 9,878,545.25/4,174
  6. Step 6: Final answer
    x = 2,366.69

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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.