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Finding the Fourth Proportional to 3,079.80, 4,302 and 3,079.80

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Solution

The fourth proportional to 3,079.80, 4,302 and 3,079.80 is: 4,302

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,079.80 : 4,302 = 3,079.80 : x
  2. Step 2: Convert to fraction form
    3,079.80/4,302 = 3,079.80/x
  3. Step 3: Cross multiply
    3,079.80x = 4,302 × 3,079.80
  4. Step 4: Simplify right side
    3,079.80x = 13,249,299.60
  5. Step 5: Solve for x
    x = 13,249,299.60/3,079.80
  6. Step 6: Final answer
    x = 4,302

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.