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Finding the Fourth Proportional to 3,453.02, 5,180.42 and 988.02

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Solution

The fourth proportional to 3,453.02, 5,180.42 and 988.02 is: 1,482.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.02 : 5,180.42 = 988.02 : x
  2. Step 2: Convert to fraction form
    3,453.02/5,180.42 = 988.02/x
  3. Step 3: Cross multiply
    3,453.02x = 5,180.42 × 988.02
  4. Step 4: Simplify right side
    3,453.02x = 5,118,358.57
  5. Step 5: Solve for x
    x = 5,118,358.57/3,453.02
  6. Step 6: Final answer
    x = 1,482.28

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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.