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Finding the Fourth Proportional to 3,920.60, 5,880.72 and 1,971.32

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Solution

The fourth proportional to 3,920.60, 5,880.72 and 1,971.32 is: 2,956.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.60 : 5,880.72 = 1,971.32 : x
  2. Step 2: Convert to fraction form
    3,920.60/5,880.72 = 1,971.32/x
  3. Step 3: Cross multiply
    3,920.60x = 5,880.72 × 1,971.32
  4. Step 4: Simplify right side
    3,920.60x = 11,592,780.95
  5. Step 5: Solve for x
    x = 11,592,780.95/3,920.60
  6. Step 6: Final answer
    x = 2,956.89

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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.