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Finding the Fourth Proportional to 3,580.02, 5,373.51 and 3,382.80

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Solution

The fourth proportional to 3,580.02, 5,373.51 and 3,382.80 is: 5,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,580.02 : 5,373.51 = 3,382.80 : x
  2. Step 2: Convert to fraction form
    3,580.02/5,373.51 = 3,382.80/x
  3. Step 3: Cross multiply
    3,580.02x = 5,373.51 × 3,382.80
  4. Step 4: Simplify right side
    3,580.02x = 18,177,509.63
  5. Step 5: Solve for x
    x = 18,177,509.63/3,580.02
  6. Step 6: Final answer
    x = 5,077.49

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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.