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Finding the Fourth Proportional to 2,011.87, 2,770.30 and 1,784.57

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Solution

The fourth proportional to 2,011.87, 2,770.30 and 1,784.57 is: 2,457.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,011.87 : 2,770.30 = 1,784.57 : x
  2. Step 2: Convert to fraction form
    2,011.87/2,770.30 = 1,784.57/x
  3. Step 3: Cross multiply
    2,011.87x = 2,770.30 × 1,784.57
  4. Step 4: Simplify right side
    2,011.87x = 4,943,782.65
  5. Step 5: Solve for x
    x = 4,943,782.65/2,011.87
  6. Step 6: Final answer
    x = 2,457.31

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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.