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Finding the Fourth Proportional to 5,489.12, 7,575 and 3,005.12

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Solution

The fourth proportional to 5,489.12, 7,575 and 3,005.12 is: 4,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.12 : 7,575 = 3,005.12 : x
  2. Step 2: Convert to fraction form
    5,489.12/7,575 = 3,005.12/x
  3. Step 3: Cross multiply
    5,489.12x = 7,575 × 3,005.12
  4. Step 4: Simplify right side
    5,489.12x = 22,763,784
  5. Step 5: Solve for x
    x = 22,763,784/5,489.12
  6. Step 6: Final answer
    x = 4,147.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.