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Finding the Fourth Proportional to 5,358.48, 8,039 and 1,660.88

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Solution

The fourth proportional to 5,358.48, 8,039 and 1,660.88 is: 2,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,358.48 : 8,039 = 1,660.88 : x
  2. Step 2: Convert to fraction form
    5,358.48/8,039 = 1,660.88/x
  3. Step 3: Cross multiply
    5,358.48x = 8,039 × 1,660.88
  4. Step 4: Simplify right side
    5,358.48x = 13,351,814.32
  5. Step 5: Solve for x
    x = 13,351,814.32/5,358.48
  6. Step 6: Final answer
    x = 2,491.72

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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.