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Finding the Fourth Proportional to 3,630, 5,006.57 and 2,434.59

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Solution

The fourth proportional to 3,630, 5,006.57 and 2,434.59 is: 3,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630 : 5,006.57 = 2,434.59 : x
  2. Step 2: Convert to fraction form
    3,630/5,006.57 = 2,434.59/x
  3. Step 3: Cross multiply
    3,630x = 5,006.57 × 2,434.59
  4. Step 4: Simplify right side
    3,630x = 12,188,945.26
  5. Step 5: Solve for x
    x = 12,188,945.26/3,630
  6. Step 6: Final answer
    x = 3,357.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.