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Finding the Fourth Proportional to 1,218.89, 1,820.07 and 1,069.54

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Solution

The fourth proportional to 1,218.89, 1,820.07 and 1,069.54 is: 1,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.89 : 1,820.07 = 1,069.54 : x
  2. Step 2: Convert to fraction form
    1,218.89/1,820.07 = 1,069.54/x
  3. Step 3: Cross multiply
    1,218.89x = 1,820.07 × 1,069.54
  4. Step 4: Simplify right side
    1,218.89x = 1,946,633.12
  5. Step 5: Solve for x
    x = 1,946,633.12/1,218.89
  6. Step 6: Final answer
    x = 1,597.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.