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Finding the Fourth Proportional to 2,729, 3,761.72 and 1,783.12

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Solution

The fourth proportional to 2,729, 3,761.72 and 1,783.12 is: 2,457.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,729 : 3,761.72 = 1,783.12 : x
  2. Step 2: Convert to fraction form
    2,729/3,761.72 = 1,783.12/x
  3. Step 3: Cross multiply
    2,729x = 3,761.72 × 1,783.12
  4. Step 4: Simplify right side
    2,729x = 6,707,598.17
  5. Step 5: Solve for x
    x = 6,707,598.17/2,729
  6. Step 6: Final answer
    x = 2,457.90

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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.