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Finding the Fourth Proportional to 1,502.14, 2,072.94 and 839.02

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Solution

The fourth proportional to 1,502.14, 2,072.94 and 839.02 is: 1,157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.14 : 2,072.94 = 839.02 : x
  2. Step 2: Convert to fraction form
    1,502.14/2,072.94 = 839.02/x
  3. Step 3: Cross multiply
    1,502.14x = 2,072.94 × 839.02
  4. Step 4: Simplify right side
    1,502.14x = 1,739,238.12
  5. Step 5: Solve for x
    x = 1,739,238.12/1,502.14
  6. Step 6: Final answer
    x = 1,157.84

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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.