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Finding the Fourth Proportional to 3,920.65, 5,878.29 and 1,454.14

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Solution

The fourth proportional to 3,920.65, 5,878.29 and 1,454.14 is: 2,180.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.65 : 5,878.29 = 1,454.14 : x
  2. Step 2: Convert to fraction form
    3,920.65/5,878.29 = 1,454.14/x
  3. Step 3: Cross multiply
    3,920.65x = 5,878.29 × 1,454.14
  4. Step 4: Simplify right side
    3,920.65x = 8,547,856.62
  5. Step 5: Solve for x
    x = 8,547,856.62/3,920.65
  6. Step 6: Final answer
    x = 2,180.21

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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.