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Finding the Fourth Proportional to 2,909.82, 4,015.94 and 1,731.54

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Solution

The fourth proportional to 2,909.82, 4,015.94 and 1,731.54 is: 2,389.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,909.82 : 4,015.94 = 1,731.54 : x
  2. Step 2: Convert to fraction form
    2,909.82/4,015.94 = 1,731.54/x
  3. Step 3: Cross multiply
    2,909.82x = 4,015.94 × 1,731.54
  4. Step 4: Simplify right side
    2,909.82x = 6,953,752.09
  5. Step 5: Solve for x
    x = 6,953,752.09/2,909.82
  6. Step 6: Final answer
    x = 2,389.75

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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.