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Finding the Fourth Proportional to 2,666.63, 3,677.97 and 1,958.25

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Solution

The fourth proportional to 2,666.63, 3,677.97 and 1,958.25 is: 2,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.63 : 3,677.97 = 1,958.25 : x
  2. Step 2: Convert to fraction form
    2,666.63/3,677.97 = 1,958.25/x
  3. Step 3: Cross multiply
    2,666.63x = 3,677.97 × 1,958.25
  4. Step 4: Simplify right side
    2,666.63x = 7,202,384.75
  5. Step 5: Solve for x
    x = 7,202,384.75/2,666.63
  6. Step 6: Final answer
    x = 2,700.93

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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.