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Finding the Fourth Proportional to 1,742.81, 2,394.85 and 1,392.89

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Solution

The fourth proportional to 1,742.81, 2,394.85 and 1,392.89 is: 1,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.81 : 2,394.85 = 1,392.89 : x
  2. Step 2: Convert to fraction form
    1,742.81/2,394.85 = 1,392.89/x
  3. Step 3: Cross multiply
    1,742.81x = 2,394.85 × 1,392.89
  4. Step 4: Simplify right side
    1,742.81x = 3,335,755.65
  5. Step 5: Solve for x
    x = 3,335,755.65/1,742.81
  6. Step 6: Final answer
    x = 1,914.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.