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Finding the Fourth Proportional to 3,590.94, 5,382.81 and 1,511.45

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Solution

The fourth proportional to 3,590.94, 5,382.81 and 1,511.45 is: 2,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.94 : 5,382.81 = 1,511.45 : x
  2. Step 2: Convert to fraction form
    3,590.94/5,382.81 = 1,511.45/x
  3. Step 3: Cross multiply
    3,590.94x = 5,382.81 × 1,511.45
  4. Step 4: Simplify right side
    3,590.94x = 8,135,821.26
  5. Step 5: Solve for x
    x = 8,135,821.26/3,590.94
  6. Step 6: Final answer
    x = 2,265.65

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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.