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Finding the Fourth Proportional to 6,491.04, 8,958.36 and 3,658.50

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Solution

The fourth proportional to 6,491.04, 8,958.36 and 3,658.50 is: 5,049.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.04 : 8,958.36 = 3,658.50 : x
  2. Step 2: Convert to fraction form
    6,491.04/8,958.36 = 3,658.50/x
  3. Step 3: Cross multiply
    6,491.04x = 8,958.36 × 3,658.50
  4. Step 4: Simplify right side
    6,491.04x = 32,774,160.06
  5. Step 5: Solve for x
    x = 32,774,160.06/6,491.04
  6. Step 6: Final answer
    x = 5,049.14

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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.