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Finding the Fourth Proportional to 2,491, 3,440.46 and 1,703.68

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Solution

The fourth proportional to 2,491, 3,440.46 and 1,703.68 is: 2,353.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,491 : 3,440.46 = 1,703.68 : x
  2. Step 2: Convert to fraction form
    2,491/3,440.46 = 1,703.68/x
  3. Step 3: Cross multiply
    2,491x = 3,440.46 × 1,703.68
  4. Step 4: Simplify right side
    2,491x = 5,861,442.89
  5. Step 5: Solve for x
    x = 5,861,442.89/2,491
  6. Step 6: Final answer
    x = 2,353.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.