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Finding the Fourth Proportional to 4,756.55, 7,132.80 and 1,982.30

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Solution

The fourth proportional to 4,756.55, 7,132.80 and 1,982.30 is: 2,972.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.55 : 7,132.80 = 1,982.30 : x
  2. Step 2: Convert to fraction form
    4,756.55/7,132.80 = 1,982.30/x
  3. Step 3: Cross multiply
    4,756.55x = 7,132.80 × 1,982.30
  4. Step 4: Simplify right side
    4,756.55x = 14,139,349.44
  5. Step 5: Solve for x
    x = 14,139,349.44/4,756.55
  6. Step 6: Final answer
    x = 2,972.61

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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.