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Finding the Fourth Proportional to 10,396.12, 15,590.40 and 3,469

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Solution

The fourth proportional to 10,396.12, 15,590.40 and 3,469 is: 5,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.12 : 15,590.40 = 3,469 : x
  2. Step 2: Convert to fraction form
    10,396.12/15,590.40 = 3,469/x
  3. Step 3: Cross multiply
    10,396.12x = 15,590.40 × 3,469
  4. Step 4: Simplify right side
    10,396.12x = 54,083,097.60
  5. Step 5: Solve for x
    x = 54,083,097.60/10,396.12
  6. Step 6: Final answer
    x = 5,202.24

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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.