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Finding the Fourth Proportional to 2,099.63, 3,128.46 and 1,973.88

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Solution

The fourth proportional to 2,099.63, 3,128.46 and 1,973.88 is: 2,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.63 : 3,128.46 = 1,973.88 : x
  2. Step 2: Convert to fraction form
    2,099.63/3,128.46 = 1,973.88/x
  3. Step 3: Cross multiply
    2,099.63x = 3,128.46 × 1,973.88
  4. Step 4: Simplify right side
    2,099.63x = 6,175,204.62
  5. Step 5: Solve for x
    x = 6,175,204.62/2,099.63
  6. Step 6: Final answer
    x = 2,941.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.