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Finding the Fourth Proportional to 3,497, 5,245.50 and 1,065

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Solution

The fourth proportional to 3,497, 5,245.50 and 1,065 is: 1,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497 : 5,245.50 = 1,065 : x
  2. Step 2: Convert to fraction form
    3,497/5,245.50 = 1,065/x
  3. Step 3: Cross multiply
    3,497x = 5,245.50 × 1,065
  4. Step 4: Simplify right side
    3,497x = 5,586,457.50
  5. Step 5: Solve for x
    x = 5,586,457.50/3,497
  6. Step 6: Final answer
    x = 1,597.50

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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.