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Finding the Fourth Proportional to 1,346.82, 1,857.36 and 842.02

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Solution

The fourth proportional to 1,346.82, 1,857.36 and 842.02 is: 1,161.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.82 : 1,857.36 = 842.02 : x
  2. Step 2: Convert to fraction form
    1,346.82/1,857.36 = 842.02/x
  3. Step 3: Cross multiply
    1,346.82x = 1,857.36 × 842.02
  4. Step 4: Simplify right side
    1,346.82x = 1,563,934.27
  5. Step 5: Solve for x
    x = 1,563,934.27/1,346.82
  6. Step 6: Final answer
    x = 1,161.21

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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.