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Finding the Fourth Proportional to 2,140.47, 3,209.31 and 969.21

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Solution

The fourth proportional to 2,140.47, 3,209.31 and 969.21 is: 1,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140.47 : 3,209.31 = 969.21 : x
  2. Step 2: Convert to fraction form
    2,140.47/3,209.31 = 969.21/x
  3. Step 3: Cross multiply
    2,140.47x = 3,209.31 × 969.21
  4. Step 4: Simplify right side
    2,140.47x = 3,110,495.35
  5. Step 5: Solve for x
    x = 3,110,495.35/2,140.47
  6. Step 6: Final answer
    x = 1,453.18

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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.