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Finding the Fourth Proportional to 2,666.94, 3,993.40 and 1,882.70

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Solution

The fourth proportional to 2,666.94, 3,993.40 and 1,882.70 is: 2,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.94 : 3,993.40 = 1,882.70 : x
  2. Step 2: Convert to fraction form
    2,666.94/3,993.40 = 1,882.70/x
  3. Step 3: Cross multiply
    2,666.94x = 3,993.40 × 1,882.70
  4. Step 4: Simplify right side
    2,666.94x = 7,518,374.18
  5. Step 5: Solve for x
    x = 7,518,374.18/2,666.94
  6. Step 6: Final answer
    x = 2,819.10

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1.5x scale

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.