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Finding the Fourth Proportional to 2,729.70, 3,762.05 and 1,973.30

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Solution

The fourth proportional to 2,729.70, 3,762.05 and 1,973.30 is: 2,719.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729.70 : 3,762.05 = 1,973.30 : x
  2. Step 2: Convert to fraction form
    2,729.70/3,762.05 = 1,973.30/x
  3. Step 3: Cross multiply
    2,729.70x = 3,762.05 × 1,973.30
  4. Step 4: Simplify right side
    2,729.70x = 7,423,624.59
  5. Step 5: Solve for x
    x = 7,423,624.59/2,729.70
  6. Step 6: Final answer
    x = 2,719.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.