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Finding the Fourth Proportional to 5,209.77, 7,189.65 and 2,971.65

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Solution

The fourth proportional to 5,209.77, 7,189.65 and 2,971.65 is: 4,100.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.77 : 7,189.65 = 2,971.65 : x
  2. Step 2: Convert to fraction form
    5,209.77/7,189.65 = 2,971.65/x
  3. Step 3: Cross multiply
    5,209.77x = 7,189.65 × 2,971.65
  4. Step 4: Simplify right side
    5,209.77x = 21,365,123.42
  5. Step 5: Solve for x
    x = 21,365,123.42/5,209.77
  6. Step 6: Final answer
    x = 4,100.97

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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.