Home / 2,006.69-3,011.40-1,421.64

Finding the Fourth Proportional to 2,006.69, 3,011.40 and 1,421.64

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Solution

The fourth proportional to 2,006.69, 3,011.40 and 1,421.64 is: 2,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.69 : 3,011.40 = 1,421.64 : x
  2. Step 2: Convert to fraction form
    2,006.69/3,011.40 = 1,421.64/x
  3. Step 3: Cross multiply
    2,006.69x = 3,011.40 × 1,421.64
  4. Step 4: Simplify right side
    2,006.69x = 4,281,126.70
  5. Step 5: Solve for x
    x = 4,281,126.70/2,006.69
  6. Step 6: Final answer
    x = 2,133.43

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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.