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Finding the Fourth Proportional to 5,209.69, 7,189.94 and 2,972.11

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Solution

The fourth proportional to 5,209.69, 7,189.94 and 2,972.11 is: 4,101.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.69 : 7,189.94 = 2,972.11 : x
  2. Step 2: Convert to fraction form
    5,209.69/7,189.94 = 2,972.11/x
  3. Step 3: Cross multiply
    5,209.69x = 7,189.94 × 2,972.11
  4. Step 4: Simplify right side
    5,209.69x = 21,369,292.57
  5. Step 5: Solve for x
    x = 21,369,292.57/5,209.69
  6. Step 6: Final answer
    x = 4,101.84

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1.5x scale

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.