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Finding the Fourth Proportional to 1,121.89, 1,547.25 and 842.80

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Solution

The fourth proportional to 1,121.89, 1,547.25 and 842.80 is: 1,162.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.89 : 1,547.25 = 842.80 : x
  2. Step 2: Convert to fraction form
    1,121.89/1,547.25 = 842.80/x
  3. Step 3: Cross multiply
    1,121.89x = 1,547.25 × 842.80
  4. Step 4: Simplify right side
    1,121.89x = 1,304,022.30
  5. Step 5: Solve for x
    x = 1,304,022.30/1,121.89
  6. Step 6: Final answer
    x = 1,162.34

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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.