Home / 3,434-5,150.90-1,585.14

Finding the Fourth Proportional to 3,434, 5,150.90 and 1,585.14

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Solution

The fourth proportional to 3,434, 5,150.90 and 1,585.14 is: 2,377.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434 : 5,150.90 = 1,585.14 : x
  2. Step 2: Convert to fraction form
    3,434/5,150.90 = 1,585.14/x
  3. Step 3: Cross multiply
    3,434x = 5,150.90 × 1,585.14
  4. Step 4: Simplify right side
    3,434x = 8,164,897.63
  5. Step 5: Solve for x
    x = 8,164,897.63/3,434
  6. Step 6: Final answer
    x = 2,377.66

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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.