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Finding the Fourth Proportional to 1,909.64, 2,859.46 and 1,537.48

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Solution

The fourth proportional to 1,909.64, 2,859.46 and 1,537.48 is: 2,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,909.64 : 2,859.46 = 1,537.48 : x
  2. Step 2: Convert to fraction form
    1,909.64/2,859.46 = 1,537.48/x
  3. Step 3: Cross multiply
    1,909.64x = 2,859.46 × 1,537.48
  4. Step 4: Simplify right side
    1,909.64x = 4,396,362.56
  5. Step 5: Solve for x
    x = 4,396,362.56/1,909.64
  6. Step 6: Final answer
    x = 2,302.19

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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.