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Finding the Fourth Proportional to 5,489, 7,572.12 and 3,721.16

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Solution

The fourth proportional to 5,489, 7,572.12 and 3,721.16 is: 5,133.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489 : 7,572.12 = 3,721.16 : x
  2. Step 2: Convert to fraction form
    5,489/7,572.12 = 3,721.16/x
  3. Step 3: Cross multiply
    5,489x = 7,572.12 × 3,721.16
  4. Step 4: Simplify right side
    5,489x = 28,177,070.06
  5. Step 5: Solve for x
    x = 28,177,070.06/5,489
  6. Step 6: Final answer
    x = 5,133.37

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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.