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Finding the Fourth Proportional to 2,645.70, 3,966.09 and 1,346.87

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Solution

The fourth proportional to 2,645.70, 3,966.09 and 1,346.87 is: 2,019.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.70 : 3,966.09 = 1,346.87 : x
  2. Step 2: Convert to fraction form
    2,645.70/3,966.09 = 1,346.87/x
  3. Step 3: Cross multiply
    2,645.70x = 3,966.09 × 1,346.87
  4. Step 4: Simplify right side
    2,645.70x = 5,341,787.81
  5. Step 5: Solve for x
    x = 5,341,787.81/2,645.70
  6. Step 6: Final answer
    x = 2,019.05

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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.