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Finding the Fourth Proportional to 2,571.81, 3,855.65 and 2,426.91

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Solution

The fourth proportional to 2,571.81, 3,855.65 and 2,426.91 is: 3,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,571.81 : 3,855.65 = 2,426.91 : x
  2. Step 2: Convert to fraction form
    2,571.81/3,855.65 = 2,426.91/x
  3. Step 3: Cross multiply
    2,571.81x = 3,855.65 × 2,426.91
  4. Step 4: Simplify right side
    2,571.81x = 9,357,303.41
  5. Step 5: Solve for x
    x = 9,357,303.41/2,571.81
  6. Step 6: Final answer
    x = 3,638.41

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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.