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Finding the Fourth Proportional to 2,622.81, 3,931.03 and 1,453.41

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Solution

The fourth proportional to 2,622.81, 3,931.03 and 1,453.41 is: 2,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,622.81 : 3,931.03 = 1,453.41 : x
  2. Step 2: Convert to fraction form
    2,622.81/3,931.03 = 1,453.41/x
  3. Step 3: Cross multiply
    2,622.81x = 3,931.03 × 1,453.41
  4. Step 4: Simplify right side
    2,622.81x = 5,713,400.13
  5. Step 5: Solve for x
    x = 5,713,400.13/2,622.81
  6. Step 6: Final answer
    x = 2,178.35

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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.