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Finding the Fourth Proportional to 3,630, 5,009.51 and 2,137.78

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Solution

The fourth proportional to 3,630, 5,009.51 and 2,137.78 is: 2,950.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630 : 5,009.51 = 2,137.78 : x
  2. Step 2: Convert to fraction form
    3,630/5,009.51 = 2,137.78/x
  3. Step 3: Cross multiply
    3,630x = 5,009.51 × 2,137.78
  4. Step 4: Simplify right side
    3,630x = 10,709,230.29
  5. Step 5: Solve for x
    x = 10,709,230.29/3,630
  6. Step 6: Final answer
    x = 2,950.20

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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.