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Finding the Fourth Proportional to 1,221.10, 1,830.08 and 892.01

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Solution

The fourth proportional to 1,221.10, 1,830.08 and 892.01 is: 1,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.10 : 1,830.08 = 892.01 : x
  2. Step 2: Convert to fraction form
    1,221.10/1,830.08 = 892.01/x
  3. Step 3: Cross multiply
    1,221.10x = 1,830.08 × 892.01
  4. Step 4: Simplify right side
    1,221.10x = 1,632,445.20
  5. Step 5: Solve for x
    x = 1,632,445.20/1,221.10
  6. Step 6: Final answer
    x = 1,336.87

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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.