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Finding the Fourth Proportional to 7,356.72, 11,029.68 and 3,459

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Solution

The fourth proportional to 7,356.72, 11,029.68 and 3,459 is: 5,185.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,356.72 : 11,029.68 = 3,459 : x
  2. Step 2: Convert to fraction form
    7,356.72/11,029.68 = 3,459/x
  3. Step 3: Cross multiply
    7,356.72x = 11,029.68 × 3,459
  4. Step 4: Simplify right side
    7,356.72x = 38,151,663.12
  5. Step 5: Solve for x
    x = 38,151,663.12/7,356.72
  6. Step 6: Final answer
    x = 5,185.96

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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.