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Finding the Fourth Proportional to 3,430, 5,143.99 and 1,089.91

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Solution

The fourth proportional to 3,430, 5,143.99 and 1,089.91 is: 1,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430 : 5,143.99 = 1,089.91 : x
  2. Step 2: Convert to fraction form
    3,430/5,143.99 = 1,089.91/x
  3. Step 3: Cross multiply
    3,430x = 5,143.99 × 1,089.91
  4. Step 4: Simplify right side
    3,430x = 5,606,486.14
  5. Step 5: Solve for x
    x = 5,606,486.14/3,430
  6. Step 6: Final answer
    x = 1,634.54

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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.