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Finding the Fourth Proportional to 2,980.29, 4,461.21 and 2,936.55

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Solution

The fourth proportional to 2,980.29, 4,461.21 and 2,936.55 is: 4,395.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.29 : 4,461.21 = 2,936.55 : x
  2. Step 2: Convert to fraction form
    2,980.29/4,461.21 = 2,936.55/x
  3. Step 3: Cross multiply
    2,980.29x = 4,461.21 × 2,936.55
  4. Step 4: Simplify right side
    2,980.29x = 13,100,566.23
  5. Step 5: Solve for x
    x = 13,100,566.23/2,980.29
  6. Step 6: Final answer
    x = 4,395.74

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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.