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Finding the Fourth Proportional to 2,015.96, 2,999.55 and 1,965.74

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Solution

The fourth proportional to 2,015.96, 2,999.55 and 1,965.74 is: 2,924.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.96 : 2,999.55 = 1,965.74 : x
  2. Step 2: Convert to fraction form
    2,015.96/2,999.55 = 1,965.74/x
  3. Step 3: Cross multiply
    2,015.96x = 2,999.55 × 1,965.74
  4. Step 4: Simplify right side
    2,015.96x = 5,896,335.42
  5. Step 5: Solve for x
    x = 5,896,335.42/2,015.96
  6. Step 6: Final answer
    x = 2,924.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.