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Finding the Fourth Proportional to 2,491.81, 3,737.70 and 1,029.34

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Solution

The fourth proportional to 2,491.81, 3,737.70 and 1,029.34 is: 1,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491.81 : 3,737.70 = 1,029.34 : x
  2. Step 2: Convert to fraction form
    2,491.81/3,737.70 = 1,029.34/x
  3. Step 3: Cross multiply
    2,491.81x = 3,737.70 × 1,029.34
  4. Step 4: Simplify right side
    2,491.81x = 3,847,364.12
  5. Step 5: Solve for x
    x = 3,847,364.12/2,491.81
  6. Step 6: Final answer
    x = 1,544.00

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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.