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Finding the Fourth Proportional to 2,011.86, 3,015.90 and 1,807.74

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Solution

The fourth proportional to 2,011.86, 3,015.90 and 1,807.74 is: 2,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.86 : 3,015.90 = 1,807.74 : x
  2. Step 2: Convert to fraction form
    2,011.86/3,015.90 = 1,807.74/x
  3. Step 3: Cross multiply
    2,011.86x = 3,015.90 × 1,807.74
  4. Step 4: Simplify right side
    2,011.86x = 5,451,963.07
  5. Step 5: Solve for x
    x = 5,451,963.07/2,011.86
  6. Step 6: Final answer
    x = 2,709.91

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1.5x scale

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.