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Finding the Fourth Proportional to 2,007.81, 3,011.09 and 837.81

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Solution

The fourth proportional to 2,007.81, 3,011.09 and 837.81 is: 1,256.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.81 : 3,011.09 = 837.81 : x
  2. Step 2: Convert to fraction form
    2,007.81/3,011.09 = 837.81/x
  3. Step 3: Cross multiply
    2,007.81x = 3,011.09 × 837.81
  4. Step 4: Simplify right side
    2,007.81x = 2,522,717.12
  5. Step 5: Solve for x
    x = 2,522,717.12/2,007.81
  6. Step 6: Final answer
    x = 1,256.45

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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.