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Finding the Fourth Proportional to 9,631, 14,452.98 and 3,475

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Solution

The fourth proportional to 9,631, 14,452.98 and 3,475 is: 5,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,631 : 14,452.98 = 3,475 : x
  2. Step 2: Convert to fraction form
    9,631/14,452.98 = 3,475/x
  3. Step 3: Cross multiply
    9,631x = 14,452.98 × 3,475
  4. Step 4: Simplify right side
    9,631x = 50,224,105.50
  5. Step 5: Solve for x
    x = 50,224,105.50/9,631
  6. Step 6: Final answer
    x = 5,214.84

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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.