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Finding the Fourth Proportional to 1,101.65, 1,518.68 and 839.21

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Solution

The fourth proportional to 1,101.65, 1,518.68 and 839.21 is: 1,156.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101.65 : 1,518.68 = 839.21 : x
  2. Step 2: Convert to fraction form
    1,101.65/1,518.68 = 839.21/x
  3. Step 3: Cross multiply
    1,101.65x = 1,518.68 × 839.21
  4. Step 4: Simplify right side
    1,101.65x = 1,274,485.95
  5. Step 5: Solve for x
    x = 1,274,485.95/1,101.65
  6. Step 6: Final answer
    x = 1,156.89

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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.