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Finding the Fourth Proportional to 4,654.89, 6,981.60 and 1,880.85

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Solution

The fourth proportional to 4,654.89, 6,981.60 and 1,880.85 is: 2,820.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.89 : 6,981.60 = 1,880.85 : x
  2. Step 2: Convert to fraction form
    4,654.89/6,981.60 = 1,880.85/x
  3. Step 3: Cross multiply
    4,654.89x = 6,981.60 × 1,880.85
  4. Step 4: Simplify right side
    4,654.89x = 13,131,342.36
  5. Step 5: Solve for x
    x = 13,131,342.36/4,654.89
  6. Step 6: Final answer
    x = 2,820.98

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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.