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Finding the Fourth Proportional to 2,007.07, 2,770.10 and 1,945.51

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Solution

The fourth proportional to 2,007.07, 2,770.10 and 1,945.51 is: 2,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.07 : 2,770.10 = 1,945.51 : x
  2. Step 2: Convert to fraction form
    2,007.07/2,770.10 = 1,945.51/x
  3. Step 3: Cross multiply
    2,007.07x = 2,770.10 × 1,945.51
  4. Step 4: Simplify right side
    2,007.07x = 5,389,257.25
  5. Step 5: Solve for x
    x = 5,389,257.25/2,007.07
  6. Step 6: Final answer
    x = 2,685.14

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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.