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Finding the Fourth Proportional to 3,491.00, 5,233.01 and 1,931.70

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Solution

The fourth proportional to 3,491.00, 5,233.01 and 1,931.70 is: 2,895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.00 : 5,233.01 = 1,931.70 : x
  2. Step 2: Convert to fraction form
    3,491.00/5,233.01 = 1,931.70/x
  3. Step 3: Cross multiply
    3,491.00x = 5,233.01 × 1,931.70
  4. Step 4: Simplify right side
    3,491.00x = 10,108,585.95
  5. Step 5: Solve for x
    x = 10,108,585.95/3,491.00
  6. Step 6: Final answer
    x = 2,895.61

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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.