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Finding the Fourth Proportional to 2,590.47, 3,884.50 and 835.14

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Solution

The fourth proportional to 2,590.47, 3,884.50 and 835.14 is: 1,252.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,590.47 : 3,884.50 = 835.14 : x
  2. Step 2: Convert to fraction form
    2,590.47/3,884.50 = 835.14/x
  3. Step 3: Cross multiply
    2,590.47x = 3,884.50 × 835.14
  4. Step 4: Simplify right side
    2,590.47x = 3,244,116.94
  5. Step 5: Solve for x
    x = 3,244,116.94/2,590.47
  6. Step 6: Final answer
    x = 1,252.33

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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.