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Finding the Fourth Proportional to 3,980.58, 5,970.90 and 1,381.70

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Solution

The fourth proportional to 3,980.58, 5,970.90 and 1,381.70 is: 2,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.58 : 5,970.90 = 1,381.70 : x
  2. Step 2: Convert to fraction form
    3,980.58/5,970.90 = 1,381.70/x
  3. Step 3: Cross multiply
    3,980.58x = 5,970.90 × 1,381.70
  4. Step 4: Simplify right side
    3,980.58x = 8,249,962.68
  5. Step 5: Solve for x
    x = 8,249,962.68/3,980.58
  6. Step 6: Final answer
    x = 2,072.55

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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.