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Finding the Fourth Proportional to 2,900.50, 4,347.10 and 2,080.37

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Solution

The fourth proportional to 2,900.50, 4,347.10 and 2,080.37 is: 3,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.50 : 4,347.10 = 2,080.37 : x
  2. Step 2: Convert to fraction form
    2,900.50/4,347.10 = 2,080.37/x
  3. Step 3: Cross multiply
    2,900.50x = 4,347.10 × 2,080.37
  4. Step 4: Simplify right side
    2,900.50x = 9,043,576.43
  5. Step 5: Solve for x
    x = 9,043,576.43/2,900.50
  6. Step 6: Final answer
    x = 3,117.94

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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.