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Finding the Fourth Proportional to 2,007.56, 2,770.40 and 1,123.40

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Solution

The fourth proportional to 2,007.56, 2,770.40 and 1,123.40 is: 1,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.56 : 2,770.40 = 1,123.40 : x
  2. Step 2: Convert to fraction form
    2,007.56/2,770.40 = 1,123.40/x
  3. Step 3: Cross multiply
    2,007.56x = 2,770.40 × 1,123.40
  4. Step 4: Simplify right side
    2,007.56x = 3,112,267.36
  5. Step 5: Solve for x
    x = 3,112,267.36/2,007.56
  6. Step 6: Final answer
    x = 1,550.27

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1.5x scale

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.