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Finding the Fourth Proportional to 1,811.97, 2,720.25 and 1,507.55

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Solution

The fourth proportional to 1,811.97, 2,720.25 and 1,507.55 is: 2,263.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.97 : 2,720.25 = 1,507.55 : x
  2. Step 2: Convert to fraction form
    1,811.97/2,720.25 = 1,507.55/x
  3. Step 3: Cross multiply
    1,811.97x = 2,720.25 × 1,507.55
  4. Step 4: Simplify right side
    1,811.97x = 4,100,899.29
  5. Step 5: Solve for x
    x = 4,100,899.29/1,811.97
  6. Step 6: Final answer
    x = 2,263.23

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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.