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Finding the Fourth Proportional to 2,007.80, 2,771.50 and 1,221.88

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Solution

The fourth proportional to 2,007.80, 2,771.50 and 1,221.88 is: 1,686.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.80 : 2,771.50 = 1,221.88 : x
  2. Step 2: Convert to fraction form
    2,007.80/2,771.50 = 1,221.88/x
  3. Step 3: Cross multiply
    2,007.80x = 2,771.50 × 1,221.88
  4. Step 4: Simplify right side
    2,007.80x = 3,386,440.42
  5. Step 5: Solve for x
    x = 3,386,440.42/2,007.80
  6. Step 6: Final answer
    x = 1,686.64

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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.