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Finding the Fourth Proportional to 3,247.71, 4,871.57 and 1,786.07

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Solution

The fourth proportional to 3,247.71, 4,871.57 and 1,786.07 is: 2,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.71 : 4,871.57 = 1,786.07 : x
  2. Step 2: Convert to fraction form
    3,247.71/4,871.57 = 1,786.07/x
  3. Step 3: Cross multiply
    3,247.71x = 4,871.57 × 1,786.07
  4. Step 4: Simplify right side
    3,247.71x = 8,700,931.74
  5. Step 5: Solve for x
    x = 8,700,931.74/3,247.71
  6. Step 6: Final answer
    x = 2,679.10

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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.