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Finding the Fourth Proportional to 1,218.68, 1,830.21 and 1,121.00

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Solution

The fourth proportional to 1,218.68, 1,830.21 and 1,121.00 is: 1,683.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.68 : 1,830.21 = 1,121.00 : x
  2. Step 2: Convert to fraction form
    1,218.68/1,830.21 = 1,121.00/x
  3. Step 3: Cross multiply
    1,218.68x = 1,830.21 × 1,121.00
  4. Step 4: Simplify right side
    1,218.68x = 2,051,656.26
  5. Step 5: Solve for x
    x = 2,051,656.26/1,218.68
  6. Step 6: Final answer
    x = 1,683.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.