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Finding the Fourth Proportional to 2,785.71, 3,844.29 and 1,526.81

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Solution

The fourth proportional to 2,785.71, 3,844.29 and 1,526.81 is: 2,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.71 : 3,844.29 = 1,526.81 : x
  2. Step 2: Convert to fraction form
    2,785.71/3,844.29 = 1,526.81/x
  3. Step 3: Cross multiply
    2,785.71x = 3,844.29 × 1,526.81
  4. Step 4: Simplify right side
    2,785.71x = 5,869,515.62
  5. Step 5: Solve for x
    x = 5,869,515.62/2,785.71
  6. Step 6: Final answer
    x = 2,107.01

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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.