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Finding the Fourth Proportional to 3,491, 5,238.90 and 1,439

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Solution

The fourth proportional to 3,491, 5,238.90 and 1,439 is: 2,159.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491 : 5,238.90 = 1,439 : x
  2. Step 2: Convert to fraction form
    3,491/5,238.90 = 1,439/x
  3. Step 3: Cross multiply
    3,491x = 5,238.90 × 1,439
  4. Step 4: Simplify right side
    3,491x = 7,538,777.10
  5. Step 5: Solve for x
    x = 7,538,777.10/3,491
  6. Step 6: Final answer
    x = 2,159.49

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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.